Finding the Third Proportional to 20,822 and 31,754

Step by Step Solution

1. Step 1: Write the proportion equation
   20,822 : 31,754 = 31,754 : x
2. Step 2: Convert to fraction form
   20,822/31,754 = 31,754/x
3. Step 3: Cross multiply
   20,822x = 31,754 × 31,754
4. Step 4: Simplify right side
   20,822x = 1,008,316,516
5. Step 5: Solve for x
   x = 1,008,316,516/20,822
6. Step 6: Final answer
   x = 48,425.54