Finding the Third Proportional to 648.75 and 1,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   648.75 : 1,007.25 = 1,007.25 : x
2. Step 2: Convert to fraction form
   648.75/1,007.25 = 1,007.25/x
3. Step 3: Cross multiply
   648.75x = 1,007.25 × 1,007.25
4. Step 4: Simplify right side
   648.75x = 1,014,552.56
5. Step 5: Solve for x
   x = 1,014,552.56/648.75
6. Step 6: Final answer
   x = 1,563.86