Finding the Third Proportional to 10,416 and 22,737.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416 : 22,737.38 = 22,737.38 : x
2. Step 2: Convert to fraction form
   10,416/22,737.38 = 22,737.38/x
3. Step 3: Cross multiply
   10,416x = 22,737.38 × 22,737.38
4. Step 4: Simplify right side
   10,416x = 516,988,221.89
5. Step 5: Solve for x
   x = 516,988,221.89/10,416
6. Step 6: Final answer
   x = 49,634.05