Finding the Third Proportional to 10,217 and 21,694

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217 : 21,694 = 21,694 : x
2. Step 2: Convert to fraction form
   10,217/21,694 = 21,694/x
3. Step 3: Cross multiply
   10,217x = 21,694 × 21,694
4. Step 4: Simplify right side
   10,217x = 470,629,636
5. Step 5: Solve for x
   x = 470,629,636/10,217
6. Step 6: Final answer
   x = 46,063.39