Finding the Third Proportional to 3,509.26 and 3,964.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,509.26 : 3,964.89 = 3,964.89 : x
2. Step 2: Convert to fraction form
   3,509.26/3,964.89 = 3,964.89/x
3. Step 3: Cross multiply
   3,509.26x = 3,964.89 × 3,964.89
4. Step 4: Simplify right side
   3,509.26x = 15,720,326.69
5. Step 5: Solve for x
   x = 15,720,326.69/3,509.26
6. Step 6: Final answer
   x = 4,479.67