The river located at the easternmost extremity of Alexander the Great’s empire is the Indus River.

Explanation

Alexander the Great’s empire was one of the most expansive and influential empires in history, stretching from Greece in the west to India in the east. The Indus River was located at the easternmost extremity of the empire and was an important part of the trade and commerce that allowed the empire to grow and prosper.

The Indus River allowed trade between the various parts of Alexander’s empire, as it connected the different nations, regions, and cultures. It also provided an important transportation route for goods and information, allowing for the spread of ideas and culture between the different regions.

The Indus River was also an important source of food and water for the people living in the area, and many of the cities and settlements of the empire were built along its banks.

The legacy of Alexander the Great and the importance of the Indus River in his empire can still be seen today, as the Indus is still an important source of food, water, and transportation in the region. It has also played an important role in the cultural, political, and economic development of the region.