Finding the Third Proportional to 20,770 and 31,371

Step by Step Solution

1. Step 1: Write the proportion equation
   20,770 : 31,371 = 31,371 : x
2. Step 2: Convert to fraction form
   20,770/31,371 = 31,371/x
3. Step 3: Cross multiply
   20,770x = 31,371 × 31,371
4. Step 4: Simplify right side
   20,770x = 984,139,641
5. Step 5: Solve for x
   x = 984,139,641/20,770
6. Step 6: Final answer
   x = 47,382.75