Finding the Third Proportional to 6,578.09 and 10,456.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578.09 : 10,456.59 = 10,456.59 : x
2. Step 2: Convert to fraction form
   6,578.09/10,456.59 = 10,456.59/x
3. Step 3: Cross multiply
   6,578.09x = 10,456.59 × 10,456.59
4. Step 4: Simplify right side
   6,578.09x = 109,340,352.85
5. Step 5: Solve for x
   x = 109,340,352.85/6,578.09
6. Step 6: Final answer
   x = 16,621.91