Finding the Third Proportional to 1,028 and 2,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028 : 2,243.50 = 2,243.50 : x
2. Step 2: Convert to fraction form
   1,028/2,243.50 = 2,243.50/x
3. Step 3: Cross multiply
   1,028x = 2,243.50 × 2,243.50
4. Step 4: Simplify right side
   1,028x = 5,033,292.25
5. Step 5: Solve for x
   x = 5,033,292.25/1,028
6. Step 6: Final answer
   x = 4,896.20