Finding the Third Proportional to 397.31 and 851.53

Step by Step Solution

1. Step 1: Write the proportion equation
   397.31 : 851.53 = 851.53 : x
2. Step 2: Convert to fraction form
   397.31/851.53 = 851.53/x
3. Step 3: Cross multiply
   397.31x = 851.53 × 851.53
4. Step 4: Simplify right side
   397.31x = 725,105.47
5. Step 5: Solve for x
   x = 725,105.47/397.31
6. Step 6: Final answer
   x = 1,825.03