Finding the Third Proportional to 9,544.50 and 12,768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,544.50 : 12,768.75 = 12,768.75 : x
2. Step 2: Convert to fraction form
   9,544.50/12,768.75 = 12,768.75/x
3. Step 3: Cross multiply
   9,544.50x = 12,768.75 × 12,768.75
4. Step 4: Simplify right side
   9,544.50x = 163,040,976.56
5. Step 5: Solve for x
   x = 163,040,976.56/9,544.50
6. Step 6: Final answer
   x = 17,082.19