Finding the Third Proportional to 615.94 and 1,003.78

Step by Step Solution

1. Step 1: Write the proportion equation
   615.94 : 1,003.78 = 1,003.78 : x
2. Step 2: Convert to fraction form
   615.94/1,003.78 = 1,003.78/x
3. Step 3: Cross multiply
   615.94x = 1,003.78 × 1,003.78
4. Step 4: Simplify right side
   615.94x = 1,007,576.80
5. Step 5: Solve for x
   x = 1,007,576.80/615.94
6. Step 6: Final answer
   x = 1,635.84