Finding the Third Proportional to 16,384 and 23,808

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384 : 23,808 = 23,808 : x
2. Step 2: Convert to fraction form
   16,384/23,808 = 23,808/x
3. Step 3: Cross multiply
   16,384x = 23,808 × 23,808
4. Step 4: Simplify right side
   16,384x = 566,820,864
5. Step 5: Solve for x
   x = 566,820,864/16,384
6. Step 6: Final answer
   x = 34,596