EchoKilo, believe me three years from zero to a 737 is not a long time. And then again, it all depends on where you are making an aviation career. In this inddustry, you will learn to be reeeeeeal patient. I went to Embry Riddle almost ten years ago under the impression I would be in a shiny jet in four years at the most. I was young and eager and ready to take on the world. And just like all of us that were in the flight program that year, reality took a very different course. I eventually did get there, but it took more time than I had in mind.
But like I said, it all depends on your location and what the airlines' philosophy is about new hires and what not. But all I can say is just be patient.....everything comes to pass. Your day will come before you know it. In the meantime, get your hands on that cessna and obtain the PPL first (that's if you don't have your certificates). What lies ahead will come to you in due time.