Finding the Third Proportional to 2,766.75 and 3,162.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.75 : 3,162.75 = 3,162.75 : x
2. Step 2: Convert to fraction form
   2,766.75/3,162.75 = 3,162.75/x
3. Step 3: Cross multiply
   2,766.75x = 3,162.75 × 3,162.75
4. Step 4: Simplify right side
   2,766.75x = 10,002,987.56
5. Step 5: Solve for x
   x = 10,002,987.56/2,766.75
6. Step 6: Final answer
   x = 3,615.43