Finding the Third Proportional to 2,766 and 4,020

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766 : 4,020 = 4,020 : x
2. Step 2: Convert to fraction form
   2,766/4,020 = 4,020/x
3. Step 3: Cross multiply
   2,766x = 4,020 × 4,020
4. Step 4: Simplify right side
   2,766x = 16,160,400
5. Step 5: Solve for x
   x = 16,160,400/2,766
6. Step 6: Final answer
   x = 5,842.52