Finding the Third Proportional to 8,000 and 10,686

Step by Step Solution

1. Step 1: Write the proportion equation
   8,000 : 10,686 = 10,686 : x
2. Step 2: Convert to fraction form
   8,000/10,686 = 10,686/x
3. Step 3: Cross multiply
   8,000x = 10,686 × 10,686
4. Step 4: Simplify right side
   8,000x = 114,190,596
5. Step 5: Solve for x
   x = 114,190,596/8,000
6. Step 6: Final answer
   x = 14,273.82