Getting Water and Mildew out of a carpet?

Three days ago, a pipe leaked upstairs in my apartment and now a corner of carpet in one of the downstairs rooms is wet. Since this happened, we have tried fans, heaters, and blotting with towels several times a day but the carpet is still wet. It is no longer soaked, but it is still damp and we cannot seem to get the remaining moisture out and now it is beginning to smell like mildew. I am less concerned about the mildew at the moment and have bought some cleaners and deodorizers for after the carpet is dry...But was primarily wondering if anyone had any ideas on how to get the carpet the rest of the way dry as pulling it up is definitely not an option. Thank you!