Finding the Third Proportional to 3,919.50 and 8,578.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,919.50 : 8,578.13 = 8,578.13 : x
2. Step 2: Convert to fraction form
   3,919.50/8,578.13 = 8,578.13/x
3. Step 3: Cross multiply
   3,919.50x = 8,578.13 × 8,578.13
4. Step 4: Simplify right side
   3,919.50x = 73,584,228.52
5. Step 5: Solve for x
   x = 73,584,228.52/3,919.50
6. Step 6: Final answer
   x = 18,773.88