Finding the Third Proportional to 767.29 and 1,036.71

Step by Step Solution

1. Step 1: Write the proportion equation
   767.29 : 1,036.71 = 1,036.71 : x
2. Step 2: Convert to fraction form
   767.29/1,036.71 = 1,036.71/x
3. Step 3: Cross multiply
   767.29x = 1,036.71 × 1,036.71
4. Step 4: Simplify right side
   767.29x = 1,074,757.42
5. Step 5: Solve for x
   x = 1,074,757.42/767.29
6. Step 6: Final answer
   x = 1,400.73