Finding the Third Proportional to 31,410 and 68,002

Step by Step Solution

1. Step 1: Write the proportion equation
   31,410 : 68,002 = 68,002 : x
2. Step 2: Convert to fraction form
   31,410/68,002 = 68,002/x
3. Step 3: Cross multiply
   31,410x = 68,002 × 68,002
4. Step 4: Simplify right side
   31,410x = 4,624,272,004
5. Step 5: Solve for x
   x = 4,624,272,004/31,410
6. Step 6: Final answer
   x = 147,222.92