Finding the Third Proportional to 25,920 and 56,766

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 56,766 = 56,766 : x
2. Step 2: Convert to fraction form
   25,920/56,766 = 56,766/x
3. Step 3: Cross multiply
   25,920x = 56,766 × 56,766
4. Step 4: Simplify right side
   25,920x = 3,222,378,756
5. Step 5: Solve for x
   x = 3,222,378,756/25,920
6. Step 6: Final answer
   x = 124,320.17