Federer powers way past Giraldo; Serena knocked out by Cornet
The Swiss maestro has yet to drop a set in this year's championships and was in good form again although he did make a few careless unforced errors.
Federer wasted little time imposing himself on his opponent, breaking serve at the first attempt, and then galloped through the second set.
World number 35 Giraldo held him up a little in the third but the fourth seed never looked like letting his grip slip.
"I got off to a good start and broke right away," Federer told the BBC. "I stayed in control until midway through the third set when he had a couple of break points at 15-40.
"Next thing I had break points of my own and got them and served it out."
Federer suffered a shock second-round defeat here last year but won the Gerry Weber Open on the grasscourts of Halle, Germany earlier this month and said he was delighted to maintain his form.
"I'm very pleased to keep moving on. Last year I lost in the second round so I'm aware of the dangers of certain players on this surface," he explained.
"You are always worried about the first week. The grass plays different the second week, you can do a few different things according to the weather.
"I'm just happy to be into the second week. For me it is now about maintaining a good level of play. I'm in pretty good shape right now - a few niggles but nothing that really worries me."
Federer will play Pole Jerzy Janowicz or Spain's Tommy Robredo in the fourth round.
Meanwhile, top seed Serena Williams' challenge for a sixth Wimbledon singles title fizzled out with a shock 1-6 6-3 6-4 defeat by France's Alize Cornet today.
The 32-year-old American seemed in a hurry to make up for lost time following a long rain delay when she raced through the first set but when Cornet began to dig in her powerful game began to crumble in front of a stunned crowd on Court One.
Persistent rain at the All England Club meant only two games were possible before the players were running for cover from the showers. When they returned four hours later Williams took charge.
The 24-year-old Cornet, who had already beaten Williams this year, refused to fade away though and with her opponent looking uncomfortable moving on the grass she took the second set with some accurate shot-making.
A desperate-looking Williams fought off break points in the opening game of the decider but Cornet turned the screws at 2-2 to move ahead and then broke serve again to lead 5-2.
World number one Williams looked set to launch a late escape as she clawed back to 4-5 but Cornet held her nerve when she served for the match for a second time, moving to match point when Williams bundled an easy volley into the net.
Williams suffered her earliest exit from the All England Club since 2005 when she chased down a Cornet dropshot but smacked an attempted backhand pass into the net.
"I just cannot believe it," Cornet, who has reached the last 16 of a grand slam for only the second time in 34 attempts, said in a courtside interview.
"After the break because of the rain I couldn't move my legs, I was so slow. After 6-1 in 15 minutes I was like this will be tough. But I finally made it through, I don't know how just with my heart and the help of the crowd."
Serena's defeat follows that of sister Venus to Petra Kvitova in the third round on Friday.
Cornet, the 25th seed, will face Canada's rising force Eugenie Bouchard for a place in the quarter-finals.