Finding the Third Proportional to 20,193 and 41,826

Step by Step Solution

1. Step 1: Write the proportion equation
   20,193 : 41,826 = 41,826 : x
2. Step 2: Convert to fraction form
   20,193/41,826 = 41,826/x
3. Step 3: Cross multiply
   20,193x = 41,826 × 41,826
4. Step 4: Simplify right side
   20,193x = 1,749,414,276
5. Step 5: Solve for x
   x = 1,749,414,276/20,193
6. Step 6: Final answer
   x = 86,634.69