Finding the Third Proportional to 8,229.75 and 12,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,229.75 : 12,827.25 = 12,827.25 : x
2. Step 2: Convert to fraction form
   8,229.75/12,827.25 = 12,827.25/x
3. Step 3: Cross multiply
   8,229.75x = 12,827.25 × 12,827.25
4. Step 4: Simplify right side
   8,229.75x = 164,538,342.56
5. Step 5: Solve for x
   x = 164,538,342.56/8,229.75
6. Step 6: Final answer
   x = 19,993.12