Finding the Third Proportional to 8,223.75 and 10,686.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,223.75 : 10,686.38 = 10,686.38 : x
2. Step 2: Convert to fraction form
   8,223.75/10,686.38 = 10,686.38/x
3. Step 3: Cross multiply
   8,223.75x = 10,686.38 × 10,686.38
4. Step 4: Simplify right side
   8,223.75x = 114,198,610.64
5. Step 5: Solve for x
   x = 114,198,610.64/8,223.75
6. Step 6: Final answer
   x = 13,886.44