Finding the Third Proportional to 10,971 and 17,668

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971 : 17,668 = 17,668 : x
2. Step 2: Convert to fraction form
   10,971/17,668 = 17,668/x
3. Step 3: Cross multiply
   10,971x = 17,668 × 17,668
4. Step 4: Simplify right side
   10,971x = 312,158,224
5. Step 5: Solve for x
   x = 312,158,224/10,971
6. Step 6: Final answer
   x = 28,453.03