Finding the Third Proportional to 17,668 and 38,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,668 : 38,656.50 = 38,656.50 : x
2. Step 2: Convert to fraction form
   17,668/38,656.50 = 38,656.50/x
3. Step 3: Cross multiply
   17,668x = 38,656.50 × 38,656.50
4. Step 4: Simplify right side
   17,668x = 1,494,324,992.25
5. Step 5: Solve for x
   x = 1,494,324,992.25/17,668
6. Step 6: Final answer
   x = 84,578.05