Finding the Third Proportional to 31,002 and 67,998

Step by Step Solution

1. Step 1: Write the proportion equation
   31,002 : 67,998 = 67,998 : x
2. Step 2: Convert to fraction form
   31,002/67,998 = 67,998/x
3. Step 3: Cross multiply
   31,002x = 67,998 × 67,998
4. Step 4: Simplify right side
   31,002x = 4,623,728,004
5. Step 5: Solve for x
   x = 4,623,728,004/31,002
6. Step 6: Final answer
   x = 149,142.89