Finding the Third Proportional to 5,384 and 10,216

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384 : 10,216 = 10,216 : x
2. Step 2: Convert to fraction form
   5,384/10,216 = 10,216/x
3. Step 3: Cross multiply
   5,384x = 10,216 × 10,216
4. Step 4: Simplify right side
   5,384x = 104,366,656
5. Step 5: Solve for x
   x = 104,366,656/5,384
6. Step 6: Final answer
   x = 19,384.59