Finding the Third Proportional to 20,434 and 31,571

Step by Step Solution

1. Step 1: Write the proportion equation
   20,434 : 31,571 = 31,571 : x
2. Step 2: Convert to fraction form
   20,434/31,571 = 31,571/x
3. Step 3: Cross multiply
   20,434x = 31,571 × 31,571
4. Step 4: Simplify right side
   20,434x = 996,728,041
5. Step 5: Solve for x
   x = 996,728,041/20,434
6. Step 6: Final answer
   x = 48,777.92