Finding the Third Proportional to 40,233.50 and 85,665

Step by Step Solution

1. Step 1: Write the proportion equation
   40,233.50 : 85,665 = 85,665 : x
2. Step 2: Convert to fraction form
   40,233.50/85,665 = 85,665/x
3. Step 3: Cross multiply
   40,233.50x = 85,665 × 85,665
4. Step 4: Simplify right side
   40,233.50x = 7,338,492,225
5. Step 5: Solve for x
   x = 7,338,492,225/40,233.50
6. Step 6: Final answer
   x = 182,397.56