Finding the Third Proportional to 6,229.50 and 10,382.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,229.50 : 10,382.25 = 10,382.25 : x
2. Step 2: Convert to fraction form
   6,229.50/10,382.25 = 10,382.25/x
3. Step 3: Cross multiply
   6,229.50x = 10,382.25 × 10,382.25
4. Step 4: Simplify right side
   6,229.50x = 107,791,115.06
5. Step 5: Solve for x
   x = 107,791,115.06/6,229.50
6. Step 6: Final answer
   x = 17,303.33