Finding the Third Proportional to 3,295.69 and 7,582.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,295.69 : 7,582.78 = 7,582.78 : x
2. Step 2: Convert to fraction form
   3,295.69/7,582.78 = 7,582.78/x
3. Step 3: Cross multiply
   3,295.69x = 7,582.78 × 7,582.78
4. Step 4: Simplify right side
   3,295.69x = 57,498,571.49
5. Step 5: Solve for x
   x = 57,498,571.49/3,295.69
6. Step 6: Final answer
   x = 17,446.61