Finding the Third Proportional to 1,027.69 and 2,228.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.69 : 2,228.37 = 2,228.37 : x
2. Step 2: Convert to fraction form
   1,027.69/2,228.37 = 2,228.37/x
3. Step 3: Cross multiply
   1,027.69x = 2,228.37 × 2,228.37
4. Step 4: Simplify right side
   1,027.69x = 4,965,633.38
5. Step 5: Solve for x
   x = 4,965,633.38/1,027.69
6. Step 6: Final answer
   x = 4,831.85