Finding the Third Proportional to 9,675 and 13,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,675 : 13,744.50 = 13,744.50 : x
2. Step 2: Convert to fraction form
   9,675/13,744.50 = 13,744.50/x
3. Step 3: Cross multiply
   9,675x = 13,744.50 × 13,744.50
4. Step 4: Simplify right side
   9,675x = 188,911,280.25
5. Step 5: Solve for x
   x = 188,911,280.25/9,675
6. Step 6: Final answer
   x = 19,525.71