Finding the Third Proportional to 9,926 and 13,517

Step by Step Solution

1. Step 1: Write the proportion equation
   9,926 : 13,517 = 13,517 : x
2. Step 2: Convert to fraction form
   9,926/13,517 = 13,517/x
3. Step 3: Cross multiply
   9,926x = 13,517 × 13,517
4. Step 4: Simplify right side
   9,926x = 182,709,289
5. Step 5: Solve for x
   x = 182,709,289/9,926
6. Step 6: Final answer
   x = 18,407.14