Finding the Third Proportional to 8,001 and 10,771

Step by Step Solution

1. Step 1: Write the proportion equation
   8,001 : 10,771 = 10,771 : x
2. Step 2: Convert to fraction form
   8,001/10,771 = 10,771/x
3. Step 3: Cross multiply
   8,001x = 10,771 × 10,771
4. Step 4: Simplify right side
   8,001x = 116,014,441
5. Step 5: Solve for x
   x = 116,014,441/8,001
6. Step 6: Final answer
   x = 14,499.99