Finding the Third Proportional to 25,866 and 56,469

Step by Step Solution

1. Step 1: Write the proportion equation
   25,866 : 56,469 = 56,469 : x
2. Step 2: Convert to fraction form
   25,866/56,469 = 56,469/x
3. Step 3: Cross multiply
   25,866x = 56,469 × 56,469
4. Step 4: Simplify right side
   25,866x = 3,188,747,961
5. Step 5: Solve for x
   x = 3,188,747,961/25,866
6. Step 6: Final answer
   x = 123,279.52