Summary: Introverts make great problem-solvers because they listen more than they talk. When introverts are able to vocalize or communicate their efficient problem-solving techniques, they become leaders. A frequent problem that many introverts have is that all the talkers/extroverts in the room never give them a chance to properly vocalize their thoughts. The Internet changed the dynamics a little bit, because introverts are now able to "speak" without waiting for humdrum lulls in conversation.

... the most powerful person in the room is often the most quiet

Another problem is that extroverts sometimes take credit for the "thoughts" of introverts (those that have been written before spoken).