Finding the Third Proportional to 32,185 and 67,311

Step by Step Solution

1. Step 1: Write the proportion equation
   32,185 : 67,311 = 67,311 : x
2. Step 2: Convert to fraction form
   32,185/67,311 = 67,311/x
3. Step 3: Cross multiply
   32,185x = 67,311 × 67,311
4. Step 4: Simplify right side
   32,185x = 4,530,770,721
5. Step 5: Solve for x
   x = 4,530,770,721/32,185
6. Step 6: Final answer
   x = 140,772.74