Finding the Third Proportional to 767.81 and 1,456.31

Step by Step Solution

1. Step 1: Write the proportion equation
   767.81 : 1,456.31 = 1,456.31 : x
2. Step 2: Convert to fraction form
   767.81/1,456.31 = 1,456.31/x
3. Step 3: Cross multiply
   767.81x = 1,456.31 × 1,456.31
4. Step 4: Simplify right side
   767.81x = 2,120,846.10
5. Step 5: Solve for x
   x = 2,120,846.10/767.81
6. Step 6: Final answer
   x = 2,762.19