Finding the Third Proportional to 1,027.75 and 2,243.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.75 : 2,243.38 = 2,243.38 : x
2. Step 2: Convert to fraction form
   1,027.75/2,243.38 = 2,243.38/x
3. Step 3: Cross multiply
   1,027.75x = 2,243.38 × 2,243.38
4. Step 4: Simplify right side
   1,027.75x = 5,032,731.39
5. Step 5: Solve for x
   x = 5,032,731.39/1,027.75
6. Step 6: Final answer
   x = 4,896.84