Finding the Third Proportional to 3,633 and 5,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633 : 5,635.50 = 5,635.50 : x
2. Step 2: Convert to fraction form
   3,633/5,635.50 = 5,635.50/x
3. Step 3: Cross multiply
   3,633x = 5,635.50 × 5,635.50
4. Step 4: Simplify right side
   3,633x = 31,758,860.25
5. Step 5: Solve for x
   x = 31,758,860.25/3,633
6. Step 6: Final answer
   x = 8,741.77