Finding the Third Proportional to 9,680 and 14,686

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 14,686 = 14,686 : x
2. Step 2: Convert to fraction form
   9,680/14,686 = 14,686/x
3. Step 3: Cross multiply
   9,680x = 14,686 × 14,686
4. Step 4: Simplify right side
   9,680x = 215,678,596
5. Step 5: Solve for x
   x = 215,678,596/9,680
6. Step 6: Final answer
   x = 22,280.85