Finding the Third Proportional to 16,591 and 35,854

Step by Step Solution

1. Step 1: Write the proportion equation
   16,591 : 35,854 = 35,854 : x
2. Step 2: Convert to fraction form
   16,591/35,854 = 35,854/x
3. Step 3: Cross multiply
   16,591x = 35,854 × 35,854
4. Step 4: Simplify right side
   16,591x = 1,285,509,316
5. Step 5: Solve for x
   x = 1,285,509,316/16,591
6. Step 6: Final answer
   x = 77,482.33