Finding the Third Proportional to 5,401.69 and 7,408.97

Step by Step Solution

1. Step 1: Write the proportion equation
   5,401.69 : 7,408.97 = 7,408.97 : x
2. Step 2: Convert to fraction form
   5,401.69/7,408.97 = 7,408.97/x
3. Step 3: Cross multiply
   5,401.69x = 7,408.97 × 7,408.97
4. Step 4: Simplify right side
   5,401.69x = 54,892,817.94
5. Step 5: Solve for x
   x = 54,892,817.94/5,401.69
6. Step 6: Final answer
   x = 10,162.16