Finding the Third Proportional to 16,591 and 25,689

Step by Step Solution

1. Step 1: Write the proportion equation
   16,591 : 25,689 = 25,689 : x
2. Step 2: Convert to fraction form
   16,591/25,689 = 25,689/x
3. Step 3: Cross multiply
   16,591x = 25,689 × 25,689
4. Step 4: Simplify right side
   16,591x = 659,924,721
5. Step 5: Solve for x
   x = 659,924,721/16,591
6. Step 6: Final answer
   x = 39,776.07