Finding the Third Proportional to 25,690 and 56,414

Step by Step Solution

1. Step 1: Write the proportion equation
   25,690 : 56,414 = 56,414 : x
2. Step 2: Convert to fraction form
   25,690/56,414 = 56,414/x
3. Step 3: Cross multiply
   25,690x = 56,414 × 56,414
4. Step 4: Simplify right side
   25,690x = 3,182,539,396
5. Step 5: Solve for x
   x = 3,182,539,396/25,690
6. Step 6: Final answer
   x = 123,882.42