Finding the Third Proportional to 648.94 and 851.72

Step by Step Solution

1. Step 1: Write the proportion equation
   648.94 : 851.72 = 851.72 : x
2. Step 2: Convert to fraction form
   648.94/851.72 = 851.72/x
3. Step 3: Cross multiply
   648.94x = 851.72 × 851.72
4. Step 4: Simplify right side
   648.94x = 725,424.83
5. Step 5: Solve for x
   x = 725,424.83/648.94
6. Step 6: Final answer
   x = 1,117.87