Finding the Third Proportional to 11,486 and 12,566

Step by Step Solution

1. Step 1: Write the proportion equation
   11,486 : 12,566 = 12,566 : x
2. Step 2: Convert to fraction form
   11,486/12,566 = 12,566/x
3. Step 3: Cross multiply
   11,486x = 12,566 × 12,566
4. Step 4: Simplify right side
   11,486x = 157,904,356
5. Step 5: Solve for x
   x = 157,904,356/11,486
6. Step 6: Final answer
   x = 13,747.55