Bourdy looked as though he would squeeze past the pair when he recovered valiantly from an early double-bogey to run in three successive birdies from the 15th. The Bordeaux man, though, bogeyed the last for a 69 to drop back into a tie for first place.
The trio lead by a stroke from South African Charl Schwartzel and Britons Nick Dougherty and Mark Foster.
Rodiles dramatically turned his fortunes in a wretched season so far in which he has only made the cut twice in eight starts to languish 246th on the European money-list. He said: "It's great to have found some form this special week. My confidence was not very good. I called my English coach Jason Floyd on Monday for some advice and worked hard to get things right every day. So far it is working but we'll see how it is when the pressure is really on." The tournament's highest profile player Darren Clarke could not recover from his opening 75 and a 71 left the Northern Irishman missing the cut by two shots on 146.
Reuters / Norman Dabell