Finding the Third Proportional to 25,766 and 56,452

Step by Step Solution

1. Step 1: Write the proportion equation
   25,766 : 56,452 = 56,452 : x
2. Step 2: Convert to fraction form
   25,766/56,452 = 56,452/x
3. Step 3: Cross multiply
   25,766x = 56,452 × 56,452
4. Step 4: Simplify right side
   25,766x = 3,186,828,304
5. Step 5: Solve for x
   x = 3,186,828,304/25,766
6. Step 6: Final answer
   x = 123,683.47