Finding the Third Proportional to 3,681 and 5,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,681 : 5,629.50 = 5,629.50 : x
2. Step 2: Convert to fraction form
   3,681/5,629.50 = 5,629.50/x
3. Step 3: Cross multiply
   3,681x = 5,629.50 × 5,629.50
4. Step 4: Simplify right side
   3,681x = 31,691,270.25
5. Step 5: Solve for x
   x = 31,691,270.25/3,681
6. Step 6: Final answer
   x = 8,609.42