Finding the Third Proportional to 8,224.50 and 12,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,224.50 : 12,738.75 = 12,738.75 : x
2. Step 2: Convert to fraction form
   8,224.50/12,738.75 = 12,738.75/x
3. Step 3: Cross multiply
   8,224.50x = 12,738.75 × 12,738.75
4. Step 4: Simplify right side
   8,224.50x = 162,275,751.56
5. Step 5: Solve for x
   x = 162,275,751.56/8,224.50
6. Step 6: Final answer
   x = 19,730.77