Finding the Third Proportional to 10,168 and 13,508

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168 : 13,508 = 13,508 : x
2. Step 2: Convert to fraction form
   10,168/13,508 = 13,508/x
3. Step 3: Cross multiply
   10,168x = 13,508 × 13,508
4. Step 4: Simplify right side
   10,168x = 182,466,064
5. Step 5: Solve for x
   x = 182,466,064/10,168
6. Step 6: Final answer
   x = 17,945.13