Finding the Third Proportional to 20,169 and 42,741

Step by Step Solution

1. Step 1: Write the proportion equation
   20,169 : 42,741 = 42,741 : x
2. Step 2: Convert to fraction form
   20,169/42,741 = 42,741/x
3. Step 3: Cross multiply
   20,169x = 42,741 × 42,741
4. Step 4: Simplify right side
   20,169x = 1,826,793,081
5. Step 5: Solve for x
   x = 1,826,793,081/20,169
6. Step 6: Final answer
   x = 90,574.30