How can I become a Broadway actress?

I have a profound pion for the stage. However, I am from a small town in Illinois and am not subject to rigorous theatre training nor vocal training, so I am not sure how talented I am. People tell me all the time I am a natural on the stage, but I really do not know. Recently, my school hired a very talented and experienced new vocal director, and I want to ask for lessons. If I were to chase this dream, I would obviously double major in college to have a fall back. Is there anything else I could do to achieve this "pipe dream"? Could I succeed in this?