Finding the Third Proportional to 11,214 and 21,864

Step by Step Solution

1. Step 1: Write the proportion equation
   11,214 : 21,864 = 21,864 : x
2. Step 2: Convert to fraction form
   11,214/21,864 = 21,864/x
3. Step 3: Cross multiply
   11,214x = 21,864 × 21,864
4. Step 4: Simplify right side
   11,214x = 478,034,496
5. Step 5: Solve for x
   x = 478,034,496/11,214
6. Step 6: Final answer
   x = 42,628.37