Finding the Third Proportional to 671.25 and 1,016.16

Step by Step Solution

1. Step 1: Write the proportion equation
   671.25 : 1,016.16 = 1,016.16 : x
2. Step 2: Convert to fraction form
   671.25/1,016.16 = 1,016.16/x
3. Step 3: Cross multiply
   671.25x = 1,016.16 × 1,016.16
4. Step 4: Simplify right side
   671.25x = 1,032,573.52
5. Step 5: Solve for x
   x = 1,032,573.52/671.25
6. Step 6: Final answer
   x = 1,538.28