Finding the Third Proportional to 20,196 and 41,404

Step by Step Solution

1. Step 1: Write the proportion equation
   20,196 : 41,404 = 41,404 : x
2. Step 2: Convert to fraction form
   20,196/41,404 = 41,404/x
3. Step 3: Cross multiply
   20,196x = 41,404 × 41,404
4. Step 4: Simplify right side
   20,196x = 1,714,291,216
5. Step 5: Solve for x
   x = 1,714,291,216/20,196
6. Step 6: Final answer
   x = 84,882.71