Finding the Third Proportional to 3,578.25 and 5,561.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,578.25 : 5,561.63 = 5,561.63 : x
2. Step 2: Convert to fraction form
   3,578.25/5,561.63 = 5,561.63/x
3. Step 3: Cross multiply
   3,578.25x = 5,561.63 × 5,561.63
4. Step 4: Simplify right side
   3,578.25x = 30,931,672.64
5. Step 5: Solve for x
   x = 30,931,672.64/3,578.25
6. Step 6: Final answer
   x = 8,644.36