Finding the Third Proportional to 31,570 and 69,728

Step by Step Solution

1. Step 1: Write the proportion equation
   31,570 : 69,728 = 69,728 : x
2. Step 2: Convert to fraction form
   31,570/69,728 = 69,728/x
3. Step 3: Cross multiply
   31,570x = 69,728 × 69,728
4. Step 4: Simplify right side
   31,570x = 4,861,993,984
5. Step 5: Solve for x
   x = 4,861,993,984/31,570
6. Step 6: Final answer
   x = 154,006.78