Finding the Third Proportional to 5,108 and 10,666

Step by Step Solution

1. Step 1: Write the proportion equation
   5,108 : 10,666 = 10,666 : x
2. Step 2: Convert to fraction form
   5,108/10,666 = 10,666/x
3. Step 3: Cross multiply
   5,108x = 10,666 × 10,666
4. Step 4: Simplify right side
   5,108x = 113,763,556
5. Step 5: Solve for x
   x = 113,763,556/5,108
6. Step 6: Final answer
   x = 22,271.64