Finding the Third Proportional to 3,839.50 and 8,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.50 : 8,223.50 = 8,223.50 : x
2. Step 2: Convert to fraction form
   3,839.50/8,223.50 = 8,223.50/x
3. Step 3: Cross multiply
   3,839.50x = 8,223.50 × 8,223.50
4. Step 4: Simplify right side
   3,839.50x = 67,625,952.25
5. Step 5: Solve for x
   x = 67,625,952.25/3,839.50
6. Step 6: Final answer
   x = 17,613.22