Finding the Third Proportional to 11,524 and 25,280

Step by Step Solution

1. Step 1: Write the proportion equation
   11,524 : 25,280 = 25,280 : x
2. Step 2: Convert to fraction form
   11,524/25,280 = 25,280/x
3. Step 3: Cross multiply
   11,524x = 25,280 × 25,280
4. Step 4: Simplify right side
   11,524x = 639,078,400
5. Step 5: Solve for x
   x = 639,078,400/11,524
6. Step 6: Final answer
   x = 55,456.30