Finding the Third Proportional to 4,204 and 10,066

Step by Step Solution

1. Step 1: Write the proportion equation
   4,204 : 10,066 = 10,066 : x
2. Step 2: Convert to fraction form
   4,204/10,066 = 10,066/x
3. Step 3: Cross multiply
   4,204x = 10,066 × 10,066
4. Step 4: Simplify right side
   4,204x = 101,324,356
5. Step 5: Solve for x
   x = 101,324,356/4,204
6. Step 6: Final answer
   x = 24,101.89