Finding the Third Proportional to 6,771 and 10,814.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,771 : 10,814.25 = 10,814.25 : x
2. Step 2: Convert to fraction form
   6,771/10,814.25 = 10,814.25/x
3. Step 3: Cross multiply
   6,771x = 10,814.25 × 10,814.25
4. Step 4: Simplify right side
   6,771x = 116,948,003.06
5. Step 5: Solve for x
   x = 116,948,003.06/6,771
6. Step 6: Final answer
   x = 17,271.90