( CNN ) -- Top seed Caroline Wozniacki and tournament favorite Serena Williams both came through third round matches in straight sets Saturday at the U.S .Open . Wozniacki , still seeking her first grand slam title , completed a comfortable 6-2 6-4 victory over America 's Vania King . The Danish world number one will now play either former champion Svetlana Kuznetsova or Uzbekistan 's Akgul Amanmuradova for a place in the quarterfinals . `` It 's great to be through . I was fighting and getting a lot of balls back . It was windy out there so it was quite difficult to play , '' said Wozniacki , who has collected six tour titles in 2011 . If the seedings go to form , she could face Williams , who survived a second-set fightback from fourth seed Victoria Azarenka before winning 6-1 7-6 ( 7-5 ) on Arthur Ashe . Williams , seeking a fourth U.S. Open crown , powered through the first set and looked set to complete a routine straight sets victory as she led 5-3 in the second . Azarenka had to save three match points on her service before breaking her American opponent to force a tiebreak . But Williams , seeded a lowly 28th after injury and illness , kept her nerve to go through . Seventh seed Francesca Schiavone from Italy is also through to the fourth round after coming from a set down to beat South Africa 's Chanelle Scheepers 5-7 , 7-6 ( 7-5 ) , 6-3 , while Spain 's Carla Suarez Navarro beat her compatriot Silvia Soler-Espinosa 6-0 , 6-4 . But 11th seed Jelena Jankovic went out , beaten by Anastasia Pavlyuchenkova of Russia 6-4 6-4 .
CNN eases into the fourth round at the U.S. Open with 5 -2 6-4 win over Vania King . Danish star is seeking her first grand slam title . Serena Williams beats Serena Williams in straight sets to reach Saturday .