Finding the Third Proportional to 9,508 and 13,114

Step by Step Solution

1. Step 1: Write the proportion equation
   9,508 : 13,114 = 13,114 : x
2. Step 2: Convert to fraction form
   9,508/13,114 = 13,114/x
3. Step 3: Cross multiply
   9,508x = 13,114 × 13,114
4. Step 4: Simplify right side
   9,508x = 171,976,996
5. Step 5: Solve for x
   x = 171,976,996/9,508
6. Step 6: Final answer
   x = 18,087.61