Finding the Third Proportional to 1,040.38 and 2,233.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,040.38 : 2,233.75 = 2,233.75 : x
2. Step 2: Convert to fraction form
   1,040.38/2,233.75 = 2,233.75/x
3. Step 3: Cross multiply
   1,040.38x = 2,233.75 × 2,233.75
4. Step 4: Simplify right side
   1,040.38x = 4,989,639.06
5. Step 5: Solve for x
   x = 4,989,639.06/1,040.38
6. Step 6: Final answer
   x = 4,796.00