Finding the Third Proportional to 3,408.75 and 3,970.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,408.75 : 3,970.69 = 3,970.69 : x
2. Step 2: Convert to fraction form
   3,408.75/3,970.69 = 3,970.69/x
3. Step 3: Cross multiply
   3,408.75x = 3,970.69 × 3,970.69
4. Step 4: Simplify right side
   3,408.75x = 15,766,359.22
5. Step 5: Solve for x
   x = 15,766,359.22/3,408.75
6. Step 6: Final answer
   x = 4,625.26