Finding the Third Proportional to 3,909 and 5,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,909 : 5,584.50 = 5,584.50 : x
2. Step 2: Convert to fraction form
   3,909/5,584.50 = 5,584.50/x
3. Step 3: Cross multiply
   3,909x = 5,584.50 × 5,584.50
4. Step 4: Simplify right side
   3,909x = 31,186,640.25
5. Step 5: Solve for x
   x = 31,186,640.25/3,909
6. Step 6: Final answer
   x = 7,978.16