Finding the Third Proportional to 16,526 and 25,598

Step by Step Solution

1. Step 1: Write the proportion equation
   16,526 : 25,598 = 25,598 : x
2. Step 2: Convert to fraction form
   16,526/25,598 = 25,598/x
3. Step 3: Cross multiply
   16,526x = 25,598 × 25,598
4. Step 4: Simplify right side
   16,526x = 655,257,604
5. Step 5: Solve for x
   x = 655,257,604/16,526
6. Step 6: Final answer
   x = 39,650.10