Finding the Third Proportional to 3,827.25 and 8,229.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.25 : 8,229.38 = 8,229.38 : x
2. Step 2: Convert to fraction form
   3,827.25/8,229.38 = 8,229.38/x
3. Step 3: Cross multiply
   3,827.25x = 8,229.38 × 8,229.38
4. Step 4: Simplify right side
   3,827.25x = 67,722,612.89
5. Step 5: Solve for x
   x = 67,722,612.89/3,827.25
6. Step 6: Final answer
   x = 17,694.85