Finding the Third Proportional to 12,080 and 25,472

Step by Step Solution

1. Step 1: Write the proportion equation
   12,080 : 25,472 = 25,472 : x
2. Step 2: Convert to fraction form
   12,080/25,472 = 25,472/x
3. Step 3: Cross multiply
   12,080x = 25,472 × 25,472
4. Step 4: Simplify right side
   12,080x = 648,822,784
5. Step 5: Solve for x
   x = 648,822,784/12,080
6. Step 6: Final answer
   x = 53,710.50