Finding the Third Proportional to 20,817 and 31,747

Step by Step Solution

1. Step 1: Write the proportion equation
   20,817 : 31,747 = 31,747 : x
2. Step 2: Convert to fraction form
   20,817/31,747 = 31,747/x
3. Step 3: Cross multiply
   20,817x = 31,747 × 31,747
4. Step 4: Simplify right side
   20,817x = 1,007,872,009
5. Step 5: Solve for x
   x = 1,007,872,009/20,817
6. Step 6: Final answer
   x = 48,415.81