Finding the Third Proportional to 6,738 and 7,494

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738 : 7,494 = 7,494 : x
2. Step 2: Convert to fraction form
   6,738/7,494 = 7,494/x
3. Step 3: Cross multiply
   6,738x = 7,494 × 7,494
4. Step 4: Simplify right side
   6,738x = 56,160,036
5. Step 5: Solve for x
   x = 56,160,036/6,738
6. Step 6: Final answer
   x = 8,334.82