Finding the Third Proportional to 40,228 and 71,384

Step by Step Solution

1. Step 1: Write the proportion equation
   40,228 : 71,384 = 71,384 : x
2. Step 2: Convert to fraction form
   40,228/71,384 = 71,384/x
3. Step 3: Cross multiply
   40,228x = 71,384 × 71,384
4. Step 4: Simplify right side
   40,228x = 5,095,675,456
5. Step 5: Solve for x
   x = 5,095,675,456/40,228
6. Step 6: Final answer
   x = 126,669.87