Finding the Third Proportional to 3,811 and 5,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,811 : 5,715.50 = 5,715.50 : x
2. Step 2: Convert to fraction form
   3,811/5,715.50 = 5,715.50/x
3. Step 3: Cross multiply
   3,811x = 5,715.50 × 5,715.50
4. Step 4: Simplify right side
   3,811x = 32,666,940.25
5. Step 5: Solve for x
   x = 32,666,940.25/3,811
6. Step 6: Final answer
   x = 8,571.75