Finding the Third Proportional to 10,415 and 21,568

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415 : 21,568 = 21,568 : x
2. Step 2: Convert to fraction form
   10,415/21,568 = 21,568/x
3. Step 3: Cross multiply
   10,415x = 21,568 × 21,568
4. Step 4: Simplify right side
   10,415x = 465,178,624
5. Step 5: Solve for x
   x = 465,178,624/10,415
6. Step 6: Final answer
   x = 44,664.29