Finding the Third Proportional to 4,684 and 10,666

Step by Step Solution

1. Step 1: Write the proportion equation
   4,684 : 10,666 = 10,666 : x
2. Step 2: Convert to fraction form
   4,684/10,666 = 10,666/x
3. Step 3: Cross multiply
   4,684x = 10,666 × 10,666
4. Step 4: Simplify right side
   4,684x = 113,763,556
5. Step 5: Solve for x
   x = 113,763,556/4,684
6. Step 6: Final answer
   x = 24,287.69