Finding the Third Proportional to 615.75 and 1,327.69

Step by Step Solution

1. Step 1: Write the proportion equation
   615.75 : 1,327.69 = 1,327.69 : x
2. Step 2: Convert to fraction form
   615.75/1,327.69 = 1,327.69/x
3. Step 3: Cross multiply
   615.75x = 1,327.69 × 1,327.69
4. Step 4: Simplify right side
   615.75x = 1,762,754.10
5. Step 5: Solve for x
   x = 1,762,754.10/615.75
6. Step 6: Final answer
   x = 2,862.78