Finding the Third Proportional to 13,410 and 17,638

Step by Step Solution

1. Step 1: Write the proportion equation
   13,410 : 17,638 = 17,638 : x
2. Step 2: Convert to fraction form
   13,410/17,638 = 17,638/x
3. Step 3: Cross multiply
   13,410x = 17,638 × 17,638
4. Step 4: Simplify right side
   13,410x = 311,099,044
5. Step 5: Solve for x
   x = 311,099,044/13,410
6. Step 6: Final answer
   x = 23,199.03