Finding the Third Proportional to 31,706 and 67,282

Step by Step Solution

1. Step 1: Write the proportion equation
   31,706 : 67,282 = 67,282 : x
2. Step 2: Convert to fraction form
   31,706/67,282 = 67,282/x
3. Step 3: Cross multiply
   31,706x = 67,282 × 67,282
4. Step 4: Simplify right side
   31,706x = 4,526,867,524
5. Step 5: Solve for x
   x = 4,526,867,524/31,706
6. Step 6: Final answer
   x = 142,776.37