Finding the Third Proportional to 25,880 and 56,499

Step by Step Solution

1. Step 1: Write the proportion equation
   25,880 : 56,499 = 56,499 : x
2. Step 2: Convert to fraction form
   25,880/56,499 = 56,499/x
3. Step 3: Cross multiply
   25,880x = 56,499 × 56,499
4. Step 4: Simplify right side
   25,880x = 3,192,137,001
5. Step 5: Solve for x
   x = 3,192,137,001/25,880
6. Step 6: Final answer
   x = 123,343.78