Finding the Third Proportional to 674 and 1,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   674 : 1,040.50 = 1,040.50 : x
2. Step 2: Convert to fraction form
   674/1,040.50 = 1,040.50/x
3. Step 3: Cross multiply
   674x = 1,040.50 × 1,040.50
4. Step 4: Simplify right side
   674x = 1,082,640.25
5. Step 5: Solve for x
   x = 1,082,640.25/674
6. Step 6: Final answer
   x = 1,606.29