Finding the Third Proportional to 10,498 and 13,722

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498 : 13,722 = 13,722 : x
2. Step 2: Convert to fraction form
   10,498/13,722 = 13,722/x
3. Step 3: Cross multiply
   10,498x = 13,722 × 13,722
4. Step 4: Simplify right side
   10,498x = 188,293,284
5. Step 5: Solve for x
   x = 188,293,284/10,498
6. Step 6: Final answer
   x = 17,936.11