Finding the Third Proportional to 13,238 and 21,801

Step by Step Solution

1. Step 1: Write the proportion equation
   13,238 : 21,801 = 21,801 : x
2. Step 2: Convert to fraction form
   13,238/21,801 = 21,801/x
3. Step 3: Cross multiply
   13,238x = 21,801 × 21,801
4. Step 4: Simplify right side
   13,238x = 475,283,601
5. Step 5: Solve for x
   x = 475,283,601/13,238
6. Step 6: Final answer
   x = 35,902.98