Finding the Third Proportional to 6,774 and 7,404

Step by Step Solution

1. Step 1: Write the proportion equation
   6,774 : 7,404 = 7,404 : x
2. Step 2: Convert to fraction form
   6,774/7,404 = 7,404/x
3. Step 3: Cross multiply
   6,774x = 7,404 × 7,404
4. Step 4: Simplify right side
   6,774x = 54,819,216
5. Step 5: Solve for x
   x = 54,819,216/6,774
6. Step 6: Final answer
   x = 8,092.59