Finding the Third Proportional to 2,764 and 5,866

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764 : 5,866 = 5,866 : x
2. Step 2: Convert to fraction form
   2,764/5,866 = 5,866/x
3. Step 3: Cross multiply
   2,764x = 5,866 × 5,866
4. Step 4: Simplify right side
   2,764x = 34,409,956
5. Step 5: Solve for x
   x = 34,409,956/2,764
6. Step 6: Final answer
   x = 12,449.33