Finding the Third Proportional to 11,499 and 24,638

Step by Step Solution

1. Step 1: Write the proportion equation
   11,499 : 24,638 = 24,638 : x
2. Step 2: Convert to fraction form
   11,499/24,638 = 24,638/x
3. Step 3: Cross multiply
   11,499x = 24,638 × 24,638
4. Step 4: Simplify right side
   11,499x = 607,031,044
5. Step 5: Solve for x
   x = 607,031,044/11,499
6. Step 6: Final answer
   x = 52,789.90