Finding the Third Proportional to 9,146 and 21,568

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146 : 21,568 = 21,568 : x
2. Step 2: Convert to fraction form
   9,146/21,568 = 21,568/x
3. Step 3: Cross multiply
   9,146x = 21,568 × 21,568
4. Step 4: Simplify right side
   9,146x = 465,178,624
5. Step 5: Solve for x
   x = 465,178,624/9,146
6. Step 6: Final answer
   x = 50,861.43