Finding the Third Proportional to 3,690 and 5,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,690 : 5,713.50 = 5,713.50 : x
2. Step 2: Convert to fraction form
   3,690/5,713.50 = 5,713.50/x
3. Step 3: Cross multiply
   3,690x = 5,713.50 × 5,713.50
4. Step 4: Simplify right side
   3,690x = 32,644,082.25
5. Step 5: Solve for x
   x = 32,644,082.25/3,690
6. Step 6: Final answer
   x = 8,846.63