Finding the Third Proportional to 3,581.50 and 5,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,581.50 : 5,478.50 = 5,478.50 : x
2. Step 2: Convert to fraction form
   3,581.50/5,478.50 = 5,478.50/x
3. Step 3: Cross multiply
   3,581.50x = 5,478.50 × 5,478.50
4. Step 4: Simplify right side
   3,581.50x = 30,013,962.25
5. Step 5: Solve for x
   x = 30,013,962.25/3,581.50
6. Step 6: Final answer
   x = 8,380.28