Finding the Third Proportional to 2,768 and 5,802

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768 : 5,802 = 5,802 : x
2. Step 2: Convert to fraction form
   2,768/5,802 = 5,802/x
3. Step 3: Cross multiply
   2,768x = 5,802 × 5,802
4. Step 4: Simplify right side
   2,768x = 33,663,204
5. Step 5: Solve for x
   x = 33,663,204/2,768
6. Step 6: Final answer
   x = 12,161.56