Finding the Third Proportional to 3,718.50 and 5,760.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,718.50 : 5,760.75 = 5,760.75 : x
2. Step 2: Convert to fraction form
   3,718.50/5,760.75 = 5,760.75/x
3. Step 3: Cross multiply
   3,718.50x = 5,760.75 × 5,760.75
4. Step 4: Simplify right side
   3,718.50x = 33,186,240.56
5. Step 5: Solve for x
   x = 33,186,240.56/3,718.50
6. Step 6: Final answer
   x = 8,924.63