Finding the Third Proportional to 4,689 and 10,066

Step by Step Solution

1. Step 1: Write the proportion equation
   4,689 : 10,066 = 10,066 : x
2. Step 2: Convert to fraction form
   4,689/10,066 = 10,066/x
3. Step 3: Cross multiply
   4,689x = 10,066 × 10,066
4. Step 4: Simplify right side
   4,689x = 101,324,356
5. Step 5: Solve for x
   x = 101,324,356/4,689
6. Step 6: Final answer
   x = 21,608.95