Finding the Third Proportional to 2,076 and 2,766

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076 : 2,766 = 2,766 : x
2. Step 2: Convert to fraction form
   2,076/2,766 = 2,766/x
3. Step 3: Cross multiply
   2,076x = 2,766 × 2,766
4. Step 4: Simplify right side
   2,076x = 7,650,756
5. Step 5: Solve for x
   x = 7,650,756/2,076
6. Step 6: Final answer
   x = 3,685.34