Finding the Third Proportional to 6,786.28 and 10,771.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786.28 : 10,771.31 = 10,771.31 : x
2. Step 2: Convert to fraction form
   6,786.28/10,771.31 = 10,771.31/x
3. Step 3: Cross multiply
   6,786.28x = 10,771.31 × 10,771.31
4. Step 4: Simplify right side
   6,786.28x = 116,021,172.97
5. Step 5: Solve for x
   x = 116,021,172.97/6,786.28
6. Step 6: Final answer
   x = 17,096.43