Finding the Third Proportional to 20,762 and 31,753

Step by Step Solution

1. Step 1: Write the proportion equation
   20,762 : 31,753 = 31,753 : x
2. Step 2: Convert to fraction form
   20,762/31,753 = 31,753/x
3. Step 3: Cross multiply
   20,762x = 31,753 × 31,753
4. Step 4: Simplify right side
   20,762x = 1,008,253,009
5. Step 5: Solve for x
   x = 1,008,253,009/20,762
6. Step 6: Final answer
   x = 48,562.42