Finding the Third Proportional to 8,192 and 13,004

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 13,004 = 13,004 : x
2. Step 2: Convert to fraction form
   8,192/13,004 = 13,004/x
3. Step 3: Cross multiply
   8,192x = 13,004 × 13,004
4. Step 4: Simplify right side
   8,192x = 169,104,016
5. Step 5: Solve for x
   x = 169,104,016/8,192
6. Step 6: Final answer
   x = 20,642.58