Finding the Third Proportional to 10,638 and 13,554

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 13,554 = 13,554 : x
2. Step 2: Convert to fraction form
   10,638/13,554 = 13,554/x
3. Step 3: Cross multiply
   10,638x = 13,554 × 13,554
4. Step 4: Simplify right side
   10,638x = 183,710,916
5. Step 5: Solve for x
   x = 183,710,916/10,638
6. Step 6: Final answer
   x = 17,269.31