Finding the Third Proportional to 766.78 and 1,019.81

Step by Step Solution

1. Step 1: Write the proportion equation
   766.78 : 1,019.81 = 1,019.81 : x
2. Step 2: Convert to fraction form
   766.78/1,019.81 = 1,019.81/x
3. Step 3: Cross multiply
   766.78x = 1,019.81 × 1,019.81
4. Step 4: Simplify right side
   766.78x = 1,040,017.54
5. Step 5: Solve for x
   x = 1,040,017.54/766.78
6. Step 6: Final answer
   x = 1,356.34