Finding the Third Proportional to 2,403.75 and 3,642.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,403.75 : 3,642.38 = 3,642.38 : x
2. Step 2: Convert to fraction form
   2,403.75/3,642.38 = 3,642.38/x
3. Step 3: Cross multiply
   2,403.75x = 3,642.38 × 3,642.38
4. Step 4: Simplify right side
   2,403.75x = 13,266,895.64
5. Step 5: Solve for x
   x = 13,266,895.64/2,403.75
6. Step 6: Final answer
   x = 5,519.25