Finding the Third Proportional to 10,214 and 21,067

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214 : 21,067 = 21,067 : x
2. Step 2: Convert to fraction form
   10,214/21,067 = 21,067/x
3. Step 3: Cross multiply
   10,214x = 21,067 × 21,067
4. Step 4: Simplify right side
   10,214x = 443,818,489
5. Step 5: Solve for x
   x = 443,818,489/10,214
6. Step 6: Final answer
   x = 43,451.98