Finding the Third Proportional to 5,240 and 10,384

Step by Step Solution

1. Step 1: Write the proportion equation
   5,240 : 10,384 = 10,384 : x
2. Step 2: Convert to fraction form
   5,240/10,384 = 10,384/x
3. Step 3: Cross multiply
   5,240x = 10,384 × 10,384
4. Step 4: Simplify right side
   5,240x = 107,827,456
5. Step 5: Solve for x
   x = 107,827,456/5,240
6. Step 6: Final answer
   x = 20,577.76