Finding the Third Proportional to 11,518 and 12,742

Step by Step Solution

1. Step 1: Write the proportion equation
   11,518 : 12,742 = 12,742 : x
2. Step 2: Convert to fraction form
   11,518/12,742 = 12,742/x
3. Step 3: Cross multiply
   11,518x = 12,742 × 12,742
4. Step 4: Simplify right side
   11,518x = 162,358,564
5. Step 5: Solve for x
   x = 162,358,564/11,518
6. Step 6: Final answer
   x = 14,096.07