Finding the Third Proportional to 3,408.75 and 4,456.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,408.75 : 4,456.69 = 4,456.69 : x
2. Step 2: Convert to fraction form
   3,408.75/4,456.69 = 4,456.69/x
3. Step 3: Cross multiply
   3,408.75x = 4,456.69 × 4,456.69
4. Step 4: Simplify right side
   3,408.75x = 19,862,063.47
5. Step 5: Solve for x
   x = 19,862,063.47/3,408.75
6. Step 6: Final answer
   x = 5,826.79