Finding the Third Proportional to 3,583 and 5,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,583 : 5,480.50 = 5,480.50 : x
2. Step 2: Convert to fraction form
   3,583/5,480.50 = 5,480.50/x
3. Step 3: Cross multiply
   3,583x = 5,480.50 × 5,480.50
4. Step 4: Simplify right side
   3,583x = 30,035,880.25
5. Step 5: Solve for x
   x = 30,035,880.25/3,583
6. Step 6: Final answer
   x = 8,382.89