Finding the Third Proportional to 11,538 and 17,638

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 17,638 = 17,638 : x
2. Step 2: Convert to fraction form
   11,538/17,638 = 17,638/x
3. Step 3: Cross multiply
   11,538x = 17,638 × 17,638
4. Step 4: Simplify right side
   11,538x = 311,099,044
5. Step 5: Solve for x
   x = 311,099,044/11,538
6. Step 6: Final answer
   x = 26,963.00