Finding the Third Proportional to 16,384 and 34,672

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384 : 34,672 = 34,672 : x
2. Step 2: Convert to fraction form
   16,384/34,672 = 34,672/x
3. Step 3: Cross multiply
   16,384x = 34,672 × 34,672
4. Step 4: Simplify right side
   16,384x = 1,202,147,584
5. Step 5: Solve for x
   x = 1,202,147,584/16,384
6. Step 6: Final answer
   x = 73,373.27