Finding the Third Proportional to 8,192 and 17,568

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 17,568 = 17,568 : x
2. Step 2: Convert to fraction form
   8,192/17,568 = 17,568/x
3. Step 3: Cross multiply
   8,192x = 17,568 × 17,568
4. Step 4: Simplify right side
   8,192x = 308,634,624
5. Step 5: Solve for x
   x = 308,634,624/8,192
6. Step 6: Final answer
   x = 37,675.13