Finding the Third Proportional to 3,651 and 5,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,651 : 5,664.50 = 5,664.50 : x
2. Step 2: Convert to fraction form
   3,651/5,664.50 = 5,664.50/x
3. Step 3: Cross multiply
   3,651x = 5,664.50 × 5,664.50
4. Step 4: Simplify right side
   3,651x = 32,086,560.25
5. Step 5: Solve for x
   x = 32,086,560.25/3,651
6. Step 6: Final answer
   x = 8,788.43