Finding the Third Proportional to 3,086.50 and 4,320.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,086.50 : 4,320.75 = 4,320.75 : x
2. Step 2: Convert to fraction form
   3,086.50/4,320.75 = 4,320.75/x
3. Step 3: Cross multiply
   3,086.50x = 4,320.75 × 4,320.75
4. Step 4: Simplify right side
   3,086.50x = 18,668,880.56
5. Step 5: Solve for x
   x = 18,668,880.56/3,086.50
6. Step 6: Final answer
   x = 6,048.56