My ipad 3 keeps getting stuck in headphone mode, i have tired many fixes - help!

So I as I said, my ipad keeps getting stuck in headphone mode. Sometimes I can get it out is I soft reset my phone (hold home and wake/sleep button) but other times not.

I have reinstalled my ipad software, cleaned the hole with a cotton bud, played with the mute button and put my headphone jack in and out many times.

What can I do?

Thank you,

Lucy