Finding the Third Proportional to 8,005.92 and 17,196.47

Step by Step Solution

1. Step 1: Write the proportion equation
   8,005.92 : 17,196.47 = 17,196.47 : x
2. Step 2: Convert to fraction form
   8,005.92/17,196.47 = 17,196.47/x
3. Step 3: Cross multiply
   8,005.92x = 17,196.47 × 17,196.47
4. Step 4: Simplify right side
   8,005.92x = 295,718,537.47
5. Step 5: Solve for x
   x = 295,718,537.47/8,005.92
6. Step 6: Final answer
   x = 36,937.47