Finding the Third Proportional to 31,424 and 67,766

Step by Step Solution

1. Step 1: Write the proportion equation
   31,424 : 67,766 = 67,766 : x
2. Step 2: Convert to fraction form
   31,424/67,766 = 67,766/x
3. Step 3: Cross multiply
   31,424x = 67,766 × 67,766
4. Step 4: Simplify right side
   31,424x = 4,592,230,756
5. Step 5: Solve for x
   x = 4,592,230,756/31,424
6. Step 6: Final answer
   x = 146,137.69