How did the US convince Colombia to allow them to build the Panama Canal?

Roosevelt supported a revolt in Columbia and eventually Columbia, in order to stop the revolt gave Roosevelt the right to build the panama canal. At least it was something like that

Theodore Roosevelt became President of the United States in nineteen-oh-one. He firmly believed in expanding American power in the world. To do this, he wanted a strong navy. And he wanted a way for the navy to sail quickly between the Atlantic and Pacific Oceans. Roosevelt decided to build that waterway.