Finding the Third Proportional to 11,499 and 25,689

Step by Step Solution

1. Step 1: Write the proportion equation
   11,499 : 25,689 = 25,689 : x
2. Step 2: Convert to fraction form
   11,499/25,689 = 25,689/x
3. Step 3: Cross multiply
   11,499x = 25,689 × 25,689
4. Step 4: Simplify right side
   11,499x = 659,924,721
5. Step 5: Solve for x
   x = 659,924,721/11,499
6. Step 6: Final answer
   x = 57,389.75