Finding the Third Proportional to 11,766 and 15,686

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 15,686 = 15,686 : x
2. Step 2: Convert to fraction form
   11,766/15,686 = 15,686/x
3. Step 3: Cross multiply
   11,766x = 15,686 × 15,686
4. Step 4: Simplify right side
   11,766x = 246,050,596
5. Step 5: Solve for x
   x = 246,050,596/11,766
6. Step 6: Final answer
   x = 20,912.00