Finding the Third Proportional to 1,233.28 and 1,862.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.28 : 1,862.72 = 1,862.72 : x
2. Step 2: Convert to fraction form
   1,233.28/1,862.72 = 1,862.72/x
3. Step 3: Cross multiply
   1,233.28x = 1,862.72 × 1,862.72
4. Step 4: Simplify right side
   1,233.28x = 3,469,721.14
5. Step 5: Solve for x
   x = 3,469,721.14/1,233.28
6. Step 6: Final answer
   x = 2,813.41