Finding the Third Proportional to 20,123 and 42,845

Step by Step Solution

1. Step 1: Write the proportion equation
   20,123 : 42,845 = 42,845 : x
2. Step 2: Convert to fraction form
   20,123/42,845 = 42,845/x
3. Step 3: Cross multiply
   20,123x = 42,845 × 42,845
4. Step 4: Simplify right side
   20,123x = 1,835,694,025
5. Step 5: Solve for x
   x = 1,835,694,025/20,123
6. Step 6: Final answer
   x = 91,223.68