What are the recommended file specs. for that iPad3? What does Apple suggest? There might be a way to Export/Share to a recommended format/CODEC, but remember, PrE 10 was written well before the release of the iPad 3 and the Retina Display, so one might have to work a bit harder to accommodate it.
Good luck, and please let us know a bit more,
I'd start with Share/Mobile Phones and Player/iPad with the preset to Ipad Widescreen High Quality selected.
If that's not high-def enough, you can click the Advanced button at Share/Mobile Phones and Players/iPad and, under the Video tab, create a custom preset for 1920x1080.
Yes the standard setting is not high definition enough and when I update the settings, it still looks very poor, and iTunes will not let me sync it with my iPad.
I will keep on trying...
Also don't forget that the quality of the video you output isn't just the result of the output settings you choose.
It's also based on the model of camcorder you're shooting your video with, its resolution and codecs and how closely your Premiere Elements project settings match this video.