Finding the Third Proportional to 6,709 and 14,665

Step by Step Solution

1. Step 1: Write the proportion equation
   6,709 : 14,665 = 14,665 : x
2. Step 2: Convert to fraction form
   6,709/14,665 = 14,665/x
3. Step 3: Cross multiply
   6,709x = 14,665 × 14,665
4. Step 4: Simplify right side
   6,709x = 215,062,225
5. Step 5: Solve for x
   x = 215,062,225/6,709
6. Step 6: Final answer
   x = 32,055.78