Finding the Third Proportional to 20,824 and 31,757

Step by Step Solution

1. Step 1: Write the proportion equation
   20,824 : 31,757 = 31,757 : x
2. Step 2: Convert to fraction form
   20,824/31,757 = 31,757/x
3. Step 3: Cross multiply
   20,824x = 31,757 × 31,757
4. Step 4: Simplify right side
   20,824x = 1,008,507,049
5. Step 5: Solve for x
   x = 1,008,507,049/20,824
6. Step 6: Final answer
   x = 48,430.04