Finding the Third Proportional to 20,638 and 31,008

Step by Step Solution

1. Step 1: Write the proportion equation
   20,638 : 31,008 = 31,008 : x
2. Step 2: Convert to fraction form
   20,638/31,008 = 31,008/x
3. Step 3: Cross multiply
   20,638x = 31,008 × 31,008
4. Step 4: Simplify right side
   20,638x = 961,496,064
5. Step 5: Solve for x
   x = 961,496,064/20,638
6. Step 6: Final answer
   x = 46,588.63