Finding the Third Proportional to 8,192 and 10,384

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 10,384 = 10,384 : x
2. Step 2: Convert to fraction form
   8,192/10,384 = 10,384/x
3. Step 3: Cross multiply
   8,192x = 10,384 × 10,384
4. Step 4: Simplify right side
   8,192x = 107,827,456
5. Step 5: Solve for x
   x = 107,827,456/8,192
6. Step 6: Final answer
   x = 13,162.53