Finding the Third Proportional to 11,524 and 12,628

Step by Step Solution

1. Step 1: Write the proportion equation
   11,524 : 12,628 = 12,628 : x
2. Step 2: Convert to fraction form
   11,524/12,628 = 12,628/x
3. Step 3: Cross multiply
   11,524x = 12,628 × 12,628
4. Step 4: Simplify right side
   11,524x = 159,466,384
5. Step 5: Solve for x
   x = 159,466,384/11,524
6. Step 6: Final answer
   x = 13,837.76