Finding the Third Proportional to 10,414 and 22,592

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414 : 22,592 = 22,592 : x
2. Step 2: Convert to fraction form
   10,414/22,592 = 22,592/x
3. Step 3: Cross multiply
   10,414x = 22,592 × 22,592
4. Step 4: Simplify right side
   10,414x = 510,398,464
5. Step 5: Solve for x
   x = 510,398,464/10,414
6. Step 6: Final answer
   x = 49,010.80