Finding the Third Proportional to 13,857 and 33,408.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857 : 33,408.38 = 33,408.38 : x
2. Step 2: Convert to fraction form
   13,857/33,408.38 = 33,408.38/x
3. Step 3: Cross multiply
   13,857x = 33,408.38 × 33,408.38
4. Step 4: Simplify right side
   13,857x = 1,116,119,520.14
5. Step 5: Solve for x
   x = 1,116,119,520.14/13,857
6. Step 6: Final answer
   x = 80,545.54