Finding the Third Proportional to 16,498 and 25,585

Step by Step Solution

1. Step 1: Write the proportion equation
   16,498 : 25,585 = 25,585 : x
2. Step 2: Convert to fraction form
   16,498/25,585 = 25,585/x
3. Step 3: Cross multiply
   16,498x = 25,585 × 25,585
4. Step 4: Simplify right side
   16,498x = 654,592,225
5. Step 5: Solve for x
   x = 654,592,225/16,498
6. Step 6: Final answer
   x = 39,677.07