Finding the Third Proportional to 11,866 and 25,568

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866 : 25,568 = 25,568 : x
2. Step 2: Convert to fraction form
   11,866/25,568 = 25,568/x
3. Step 3: Cross multiply
   11,866x = 25,568 × 25,568
4. Step 4: Simplify right side
   11,866x = 653,722,624
5. Step 5: Solve for x
   x = 653,722,624/11,866
6. Step 6: Final answer
   x = 55,092.08