Finding the Third Proportional to 3,638 and 7,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638 : 7,968.50 = 7,968.50 : x
2. Step 2: Convert to fraction form
   3,638/7,968.50 = 7,968.50/x
3. Step 3: Cross multiply
   3,638x = 7,968.50 × 7,968.50
4. Step 4: Simplify right side
   3,638x = 63,496,992.25
5. Step 5: Solve for x
   x = 63,496,992.25/3,638
6. Step 6: Final answer
   x = 17,453.82