Finding the Third Proportional to 14,638 and 31,834

Step by Step Solution

1. Step 1: Write the proportion equation
   14,638 : 31,834 = 31,834 : x
2. Step 2: Convert to fraction form
   14,638/31,834 = 31,834/x
3. Step 3: Cross multiply
   14,638x = 31,834 × 31,834
4. Step 4: Simplify right side
   14,638x = 1,013,403,556
5. Step 5: Solve for x
   x = 1,013,403,556/14,638
6. Step 6: Final answer
   x = 69,231.01