Finding the Third Proportional to 766.31 and 1,035.38

Step by Step Solution

1. Step 1: Write the proportion equation
   766.31 : 1,035.38 = 1,035.38 : x
2. Step 2: Convert to fraction form
   766.31/1,035.38 = 1,035.38/x
3. Step 3: Cross multiply
   766.31x = 1,035.38 × 1,035.38
4. Step 4: Simplify right side
   766.31x = 1,072,001.39
5. Step 5: Solve for x
   x = 1,072,001.39/766.31
6. Step 6: Final answer
   x = 1,398.91