Finding the Third Proportional to 1,033.38 and 2,297.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.38 : 2,297.38 = 2,297.38 : x
2. Step 2: Convert to fraction form
   1,033.38/2,297.38 = 2,297.38/x
3. Step 3: Cross multiply
   1,033.38x = 2,297.38 × 2,297.38
4. Step 4: Simplify right side
   1,033.38x = 5,277,931.89
5. Step 5: Solve for x
   x = 5,277,931.89/1,033.38
6. Step 6: Final answer
   x = 5,107.47