Finding the Third Proportional to 10,106 and 20,066

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 20,066 = 20,066 : x
2. Step 2: Convert to fraction form
   10,106/20,066 = 20,066/x
3. Step 3: Cross multiply
   10,106x = 20,066 × 20,066
4. Step 4: Simplify right side
   10,106x = 402,644,356
5. Step 5: Solve for x
   x = 402,644,356/10,106
6. Step 6: Final answer
   x = 39,842.11