Article continues below advertisementDavid Letterman is backing Seth Meyers as Donald Trump ramps up calls for NBC to fire the late-night star after becoming the target of a recent roast on Late Night With Seth Meyers. "I've never been more proud of Seth Meyers," Letterman, 78, said during an appearance on The Barbara Gaines Show on Tuesday, November 25. "That's our old show, as a matter of fact. Yeah, we used to do that show, and he does a magical job.