Finding the Third Proportional to 11,524 and 13,156

Step by Step Solution

1. Step 1: Write the proportion equation
   11,524 : 13,156 = 13,156 : x
2. Step 2: Convert to fraction form
   11,524/13,156 = 13,156/x
3. Step 3: Cross multiply
   11,524x = 13,156 × 13,156
4. Step 4: Simplify right side
   11,524x = 173,080,336
5. Step 5: Solve for x
   x = 173,080,336/11,524
6. Step 6: Final answer
   x = 15,019.12