Finding the Third Proportional to 15,197 and 32,665

Step by Step Solution

1. Step 1: Write the proportion equation
   15,197 : 32,665 = 32,665 : x
2. Step 2: Convert to fraction form
   15,197/32,665 = 32,665/x
3. Step 3: Cross multiply
   15,197x = 32,665 × 32,665
4. Step 4: Simplify right side
   15,197x = 1,067,002,225
5. Step 5: Solve for x
   x = 1,067,002,225/15,197
6. Step 6: Final answer
   x = 70,211.37