Finding the Third Proportional to 10,971 and 17,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971 : 17,668.50 = 17,668.50 : x
2. Step 2: Convert to fraction form
   10,971/17,668.50 = 17,668.50/x
3. Step 3: Cross multiply
   10,971x = 17,668.50 × 17,668.50
4. Step 4: Simplify right side
   10,971x = 312,175,892.25
5. Step 5: Solve for x
   x = 312,175,892.25/10,971
6. Step 6: Final answer
   x = 28,454.64