Finding the Third Proportional to 16,540 and 24,962

Step by Step Solution

1. Step 1: Write the proportion equation
   16,540 : 24,962 = 24,962 : x
2. Step 2: Convert to fraction form
   16,540/24,962 = 24,962/x
3. Step 3: Cross multiply
   16,540x = 24,962 × 24,962
4. Step 4: Simplify right side
   16,540x = 623,101,444
5. Step 5: Solve for x
   x = 623,101,444/16,540
6. Step 6: Final answer
   x = 37,672.40