Finding the Third Proportional to 5,496 and 10,872

Step by Step Solution

1. Step 1: Write the proportion equation
   5,496 : 10,872 = 10,872 : x
2. Step 2: Convert to fraction form
   5,496/10,872 = 10,872/x
3. Step 3: Cross multiply
   5,496x = 10,872 × 10,872
4. Step 4: Simplify right side
   5,496x = 118,200,384
5. Step 5: Solve for x
   x = 118,200,384/5,496
6. Step 6: Final answer
   x = 21,506.62