Finding the Third Proportional to 3,807.75 and 5,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,807.75 : 5,711.50 = 5,711.50 : x
2. Step 2: Convert to fraction form
   3,807.75/5,711.50 = 5,711.50/x
3. Step 3: Cross multiply
   3,807.75x = 5,711.50 × 5,711.50
4. Step 4: Simplify right side
   3,807.75x = 32,621,232.25
5. Step 5: Solve for x
   x = 32,621,232.25/3,807.75
6. Step 6: Final answer
   x = 8,567.06