22 year old female looking for accommodation in Madrid

Hi everyone! I'm Planning to go to Spain (Madrid) in September to learn spanish for the next 6 or 7 months. I'm 22, orginally from New York but I've been living in Turkey for the past 7 years and just graduated college. I need a place to stay and since I don't know anyone, I guess this is the best place to meet people who are exactly like me. I am traveling to a country I've never been before so I'm hoping somone will help me through out my stay (and if not, we could learn together!). I'm a fun, outgoing, and trustworthy person who loves to travel and have a good time. So if you are looking for a flatmate, and the rent is not that expensive, let me know. Gracias!