Finding the Third Proportional to 11,540 and 13,124

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 13,124 = 13,124 : x
2. Step 2: Convert to fraction form
   11,540/13,124 = 13,124/x
3. Step 3: Cross multiply
   11,540x = 13,124 × 13,124
4. Step 4: Simplify right side
   11,540x = 172,239,376
5. Step 5: Solve for x
   x = 172,239,376/11,540
6. Step 6: Final answer
   x = 14,925.42