Finding the Third Proportional to 2,382.25 and 3,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,382.25 : 3,641.75 = 3,641.75 : x
2. Step 2: Convert to fraction form
   2,382.25/3,641.75 = 3,641.75/x
3. Step 3: Cross multiply
   2,382.25x = 3,641.75 × 3,641.75
4. Step 4: Simplify right side
   2,382.25x = 13,262,343.06
5. Step 5: Solve for x
   x = 13,262,343.06/2,382.25
6. Step 6: Final answer
   x = 5,567.15