Finding the Third Proportional to 9,919 and 13,601

Step by Step Solution

1. Step 1: Write the proportion equation
   9,919 : 13,601 = 13,601 : x
2. Step 2: Convert to fraction form
   9,919/13,601 = 13,601/x
3. Step 3: Cross multiply
   9,919x = 13,601 × 13,601
4. Step 4: Simplify right side
   9,919x = 184,987,201
5. Step 5: Solve for x
   x = 184,987,201/9,919
6. Step 6: Final answer
   x = 18,649.78