Finding the Third Proportional to 25,914 and 56,766

Step by Step Solution

1. Step 1: Write the proportion equation
   25,914 : 56,766 = 56,766 : x
2. Step 2: Convert to fraction form
   25,914/56,766 = 56,766/x
3. Step 3: Cross multiply
   25,914x = 56,766 × 56,766
4. Step 4: Simplify right side
   25,914x = 3,222,378,756
5. Step 5: Solve for x
   x = 3,222,378,756/25,914
6. Step 6: Final answer
   x = 124,348.95