Final answer:
Quito, the capital of Ecuador, is the city in the Western Cordillera being the second highest-elevation capital in the world after La Paz, Bolivia.
Step-by-step explanation:
The capital city found in the Western Cordillera is Quito. Quito is located in Ecuador which is part of the Central Andes region, the same area once ruled by the Inca Empire and currently home to a significant Amerindian population.
With an elevation of about 9,200 feet, Quito is the second-highest capital city in the world, showcasing its placement within the mountainous Western Cordillera.