Finding the Third Proportional to 31,742 and 67,856

Step by Step Solution

1. Step 1: Write the proportion equation
   31,742 : 67,856 = 67,856 : x
2. Step 2: Convert to fraction form
   31,742/67,856 = 67,856/x
3. Step 3: Cross multiply
   31,742x = 67,856 × 67,856
4. Step 4: Simplify right side
   31,742x = 4,604,436,736
5. Step 5: Solve for x
   x = 4,604,436,736/31,742
6. Step 6: Final answer
   x = 145,058.18