Finding the Third Proportional to 20,228 and 31,434

Step by Step Solution

1. Step 1: Write the proportion equation
   20,228 : 31,434 = 31,434 : x
2. Step 2: Convert to fraction form
   20,228/31,434 = 31,434/x
3. Step 3: Cross multiply
   20,228x = 31,434 × 31,434
4. Step 4: Simplify right side
   20,228x = 988,096,356
5. Step 5: Solve for x
   x = 988,096,356/20,228
6. Step 6: Final answer
   x = 48,847.95