Finding the Third Proportional to 31,002 and 67,152

Step by Step Solution

1. Step 1: Write the proportion equation
   31,002 : 67,152 = 67,152 : x
2. Step 2: Convert to fraction form
   31,002/67,152 = 67,152/x
3. Step 3: Cross multiply
   31,002x = 67,152 × 67,152
4. Step 4: Simplify right side
   31,002x = 4,509,391,104
5. Step 5: Solve for x
   x = 4,509,391,104/31,002
6. Step 6: Final answer
   x = 145,454.84