Finding the Third Proportional to 3,544 and 7,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,544 : 7,633.50 = 7,633.50 : x
2. Step 2: Convert to fraction form
   3,544/7,633.50 = 7,633.50/x
3. Step 3: Cross multiply
   3,544x = 7,633.50 × 7,633.50
4. Step 4: Simplify right side
   3,544x = 58,270,322.25
5. Step 5: Solve for x
   x = 58,270,322.25/3,544
6. Step 6: Final answer
   x = 16,441.96