Finding the Third Proportional to 10,082 and 21,668

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082 : 21,668 = 21,668 : x
2. Step 2: Convert to fraction form
   10,082/21,668 = 21,668/x
3. Step 3: Cross multiply
   10,082x = 21,668 × 21,668
4. Step 4: Simplify right side
   10,082x = 469,502,224
5. Step 5: Solve for x
   x = 469,502,224/10,082
6. Step 6: Final answer
   x = 46,568.36