Finding the Third Proportional to 31,744 and 67,710

Step by Step Solution

1. Step 1: Write the proportion equation
   31,744 : 67,710 = 67,710 : x
2. Step 2: Convert to fraction form
   31,744/67,710 = 67,710/x
3. Step 3: Cross multiply
   31,744x = 67,710 × 67,710
4. Step 4: Simplify right side
   31,744x = 4,584,644,100
5. Step 5: Solve for x
   x = 4,584,644,100/31,744
6. Step 6: Final answer
   x = 144,425.53