Finding the Third Proportional to 2,629.50 and 4,382.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.50 : 4,382.25 = 4,382.25 : x
2. Step 2: Convert to fraction form
   2,629.50/4,382.25 = 4,382.25/x
3. Step 3: Cross multiply
   2,629.50x = 4,382.25 × 4,382.25
4. Step 4: Simplify right side
   2,629.50x = 19,204,115.06
5. Step 5: Solve for x
   x = 19,204,115.06/2,629.50
6. Step 6: Final answer
   x = 7,303.33