Finding the Third Proportional to 20,822 and 31,755

Step by Step Solution

1. Step 1: Write the proportion equation
   20,822 : 31,755 = 31,755 : x
2. Step 2: Convert to fraction form
   20,822/31,755 = 31,755/x
3. Step 3: Cross multiply
   20,822x = 31,755 × 31,755
4. Step 4: Simplify right side
   20,822x = 1,008,380,025
5. Step 5: Solve for x
   x = 1,008,380,025/20,822
6. Step 6: Final answer
   x = 48,428.59