Finding the Third Proportional to 3,895.59 and 5,578.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,895.59 : 5,578.56 = 5,578.56 : x
2. Step 2: Convert to fraction form
   3,895.59/5,578.56 = 5,578.56/x
3. Step 3: Cross multiply
   3,895.59x = 5,578.56 × 5,578.56
4. Step 4: Simplify right side
   3,895.59x = 31,120,315.98
5. Step 5: Solve for x
   x = 31,120,315.98/3,895.59
6. Step 6: Final answer
   x = 7,988.59