Finding the Third Proportional to 20,234 and 41,470

Step by Step Solution

1. Step 1: Write the proportion equation
   20,234 : 41,470 = 41,470 : x
2. Step 2: Convert to fraction form
   20,234/41,470 = 41,470/x
3. Step 3: Cross multiply
   20,234x = 41,470 × 41,470
4. Step 4: Simplify right side
   20,234x = 1,719,760,900
5. Step 5: Solve for x
   x = 1,719,760,900/20,234
6. Step 6: Final answer
   x = 84,993.62