Finding the Third Proportional to 5,498 and 10,724

Step by Step Solution

1. Step 1: Write the proportion equation
   5,498 : 10,724 = 10,724 : x
2. Step 2: Convert to fraction form
   5,498/10,724 = 10,724/x
3. Step 3: Cross multiply
   5,498x = 10,724 × 10,724
4. Step 4: Simplify right side
   5,498x = 115,004,176
5. Step 5: Solve for x
   x = 115,004,176/5,498
6. Step 6: Final answer
   x = 20,917.46