Finding the Third Proportional to 10,206 and 21,066

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 21,066 = 21,066 : x
2. Step 2: Convert to fraction form
   10,206/21,066 = 21,066/x
3. Step 3: Cross multiply
   10,206x = 21,066 × 21,066
4. Step 4: Simplify right side
   10,206x = 443,776,356
5. Step 5: Solve for x
   x = 443,776,356/10,206
6. Step 6: Final answer
   x = 43,481.91