Finding the Third Proportional to 16,384 and 33,736

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384 : 33,736 = 33,736 : x
2. Step 2: Convert to fraction form
   16,384/33,736 = 33,736/x
3. Step 3: Cross multiply
   16,384x = 33,736 × 33,736
4. Step 4: Simplify right side
   16,384x = 1,138,117,696
5. Step 5: Solve for x
   x = 1,138,117,696/16,384
6. Step 6: Final answer
   x = 69,465.19