Finding the Third Proportional to 3,880.50 and 5,739.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,880.50 : 5,739.75 = 5,739.75 : x
2. Step 2: Convert to fraction form
   3,880.50/5,739.75 = 5,739.75/x
3. Step 3: Cross multiply
   3,880.50x = 5,739.75 × 5,739.75
4. Step 4: Simplify right side
   3,880.50x = 32,944,730.06
5. Step 5: Solve for x
   x = 32,944,730.06/3,880.50
6. Step 6: Final answer
   x = 8,489.82