Finding the Third Proportional to 31,682 and 67,234

Step by Step Solution

1. Step 1: Write the proportion equation
   31,682 : 67,234 = 67,234 : x
2. Step 2: Convert to fraction form
   31,682/67,234 = 67,234/x
3. Step 3: Cross multiply
   31,682x = 67,234 × 67,234
4. Step 4: Simplify right side
   31,682x = 4,520,410,756
5. Step 5: Solve for x
   x = 4,520,410,756/31,682
6. Step 6: Final answer
   x = 142,680.73