Finding the Third Proportional to 11,614 and 12,718

Step by Step Solution

1. Step 1: Write the proportion equation
   11,614 : 12,718 = 12,718 : x
2. Step 2: Convert to fraction form
   11,614/12,718 = 12,718/x
3. Step 3: Cross multiply
   11,614x = 12,718 × 12,718
4. Step 4: Simplify right side
   11,614x = 161,747,524
5. Step 5: Solve for x
   x = 161,747,524/11,614
6. Step 6: Final answer
   x = 13,926.94