Finding the Third Proportional to 20,813 and 31,738

Step by Step Solution

1. Step 1: Write the proportion equation
   20,813 : 31,738 = 31,738 : x
2. Step 2: Convert to fraction form
   20,813/31,738 = 31,738/x
3. Step 3: Cross multiply
   20,813x = 31,738 × 31,738
4. Step 4: Simplify right side
   20,813x = 1,007,300,644
5. Step 5: Solve for x
   x = 1,007,300,644/20,813
6. Step 6: Final answer
   x = 48,397.67