Finding the Third Proportional to 1,257.38 and 2,697.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.38 : 2,697.38 = 2,697.38 : x
2. Step 2: Convert to fraction form
   1,257.38/2,697.38 = 2,697.38/x
3. Step 3: Cross multiply
   1,257.38x = 2,697.38 × 2,697.38
4. Step 4: Simplify right side
   1,257.38x = 7,275,831.89
5. Step 5: Solve for x
   x = 7,275,831.89/1,257.38
6. Step 6: Final answer
   x = 5,786.53