Finding the Third Proportional to 5,008 and 10,771

Step by Step Solution

1. Step 1: Write the proportion equation
   5,008 : 10,771 = 10,771 : x
2. Step 2: Convert to fraction form
   5,008/10,771 = 10,771/x
3. Step 3: Cross multiply
   5,008x = 10,771 × 10,771
4. Step 4: Simplify right side
   5,008x = 116,014,441
5. Step 5: Solve for x
   x = 116,014,441/5,008
6. Step 6: Final answer
   x = 23,165.82