Finding the Third Proportional to 31,002 and 73,665

Step by Step Solution

1. Step 1: Write the proportion equation
   31,002 : 73,665 = 73,665 : x
2. Step 2: Convert to fraction form
   31,002/73,665 = 73,665/x
3. Step 3: Cross multiply
   31,002x = 73,665 × 73,665
4. Step 4: Simplify right side
   31,002x = 5,426,532,225
5. Step 5: Solve for x
   x = 5,426,532,225/31,002
6. Step 6: Final answer
   x = 175,038.13