Finding the Third Proportional to 674.25 and 1,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   674.25 : 1,016.25 = 1,016.25 : x
2. Step 2: Convert to fraction form
   674.25/1,016.25 = 1,016.25/x
3. Step 3: Cross multiply
   674.25x = 1,016.25 × 1,016.25
4. Step 4: Simplify right side
   674.25x = 1,032,764.06
5. Step 5: Solve for x
   x = 1,032,764.06/674.25
6. Step 6: Final answer
   x = 1,531.72