Finding the Third Proportional to 20,208 and 31,022

Step by Step Solution

1. Step 1: Write the proportion equation
   20,208 : 31,022 = 31,022 : x
2. Step 2: Convert to fraction form
   20,208/31,022 = 31,022/x
3. Step 3: Cross multiply
   20,208x = 31,022 × 31,022
4. Step 4: Simplify right side
   20,208x = 962,364,484
5. Step 5: Solve for x
   x = 962,364,484/20,208
6. Step 6: Final answer
   x = 47,622.95