Finding the Third Proportional to 3,408.75 and 4,978.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,408.75 : 4,978.69 = 4,978.69 : x
2. Step 2: Convert to fraction form
   3,408.75/4,978.69 = 4,978.69/x
3. Step 3: Cross multiply
   3,408.75x = 4,978.69 × 4,978.69
4. Step 4: Simplify right side
   3,408.75x = 24,787,329.22
5. Step 5: Solve for x
   x = 24,787,329.22/3,408.75
6. Step 6: Final answer
   x = 7,271.68