Finding the Third Proportional to 10,217 and 20,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217 : 20,864 = 20,864 : x
2. Step 2: Convert to fraction form
   10,217/20,864 = 20,864/x
3. Step 3: Cross multiply
   10,217x = 20,864 × 20,864
4. Step 4: Simplify right side
   10,217x = 435,306,496
5. Step 5: Solve for x
   x = 435,306,496/10,217
6. Step 6: Final answer
   x = 42,606.10