Finding the Third Proportional to 21,832 and 31,147

Step by Step Solution

1. Step 1: Write the proportion equation
   21,832 : 31,147 = 31,147 : x
2. Step 2: Convert to fraction form
   21,832/31,147 = 31,147/x
3. Step 3: Cross multiply
   21,832x = 31,147 × 31,147
4. Step 4: Simplify right side
   21,832x = 970,135,609
5. Step 5: Solve for x
   x = 970,135,609/21,832
6. Step 6: Final answer
   x = 44,436.41