Finding the Third Proportional to 11,498 and 12,686

Step by Step Solution

1. Step 1: Write the proportion equation
   11,498 : 12,686 = 12,686 : x
2. Step 2: Convert to fraction form
   11,498/12,686 = 12,686/x
3. Step 3: Cross multiply
   11,498x = 12,686 × 12,686
4. Step 4: Simplify right side
   11,498x = 160,934,596
5. Step 5: Solve for x
   x = 160,934,596/11,498
6. Step 6: Final answer
   x = 13,996.75