Finding the Third Proportional to 6,229.50 and 9,290.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,229.50 : 9,290.25 = 9,290.25 : x
2. Step 2: Convert to fraction form
   6,229.50/9,290.25 = 9,290.25/x
3. Step 3: Cross multiply
   6,229.50x = 9,290.25 × 9,290.25
4. Step 4: Simplify right side
   6,229.50x = 86,308,745.06
5. Step 5: Solve for x
   x = 86,308,745.06/6,229.50
6. Step 6: Final answer
   x = 13,854.84