Finding the Third Proportional to 3,715.50 and 5,771.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,715.50 : 5,771.63 = 5,771.63 : x
2. Step 2: Convert to fraction form
   3,715.50/5,771.63 = 5,771.63/x
3. Step 3: Cross multiply
   3,715.50x = 5,771.63 × 5,771.63
4. Step 4: Simplify right side
   3,715.50x = 33,311,655.14
5. Step 5: Solve for x
   x = 33,311,655.14/3,715.50
6. Step 6: Final answer
   x = 8,965.59