Finding the Third Proportional to 3,716 and 5,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,716 : 5,760.50 = 5,760.50 : x
2. Step 2: Convert to fraction form
   3,716/5,760.50 = 5,760.50/x
3. Step 3: Cross multiply
   3,716x = 5,760.50 × 5,760.50
4. Step 4: Simplify right side
   3,716x = 33,183,360.25
5. Step 5: Solve for x
   x = 33,183,360.25/3,716
6. Step 6: Final answer
   x = 8,929.86