Finding the Third Proportional to 10,688 and 13,544

Step by Step Solution

1. Step 1: Write the proportion equation
   10,688 : 13,544 = 13,544 : x
2. Step 2: Convert to fraction form
   10,688/13,544 = 13,544/x
3. Step 3: Cross multiply
   10,688x = 13,544 × 13,544
4. Step 4: Simplify right side
   10,688x = 183,439,936
5. Step 5: Solve for x
   x = 183,439,936/10,688
6. Step 6: Final answer
   x = 17,163.17