Finding the Third Proportional to 8,151.75 and 10,767.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,151.75 : 10,767.38 = 10,767.38 : x
2. Step 2: Convert to fraction form
   8,151.75/10,767.38 = 10,767.38/x
3. Step 3: Cross multiply
   8,151.75x = 10,767.38 × 10,767.38
4. Step 4: Simplify right side
   8,151.75x = 115,936,364.39
5. Step 5: Solve for x
   x = 115,936,364.39/8,151.75
6. Step 6: Final answer
   x = 14,222.27