Finding the Third Proportional to 21,146 and 31,668

Step by Step Solution

1. Step 1: Write the proportion equation
   21,146 : 31,668 = 31,668 : x
2. Step 2: Convert to fraction form
   21,146/31,668 = 31,668/x
3. Step 3: Cross multiply
   21,146x = 31,668 × 31,668
4. Step 4: Simplify right side
   21,146x = 1,002,862,224
5. Step 5: Solve for x
   x = 1,002,862,224/21,146
6. Step 6: Final answer
   x = 47,425.62