Finding the Third Proportional to 19,806 and 41,256

Step by Step Solution

1. Step 1: Write the proportion equation
   19,806 : 41,256 = 41,256 : x
2. Step 2: Convert to fraction form
   19,806/41,256 = 41,256/x
3. Step 3: Cross multiply
   19,806x = 41,256 × 41,256
4. Step 4: Simplify right side
   19,806x = 1,702,057,536
5. Step 5: Solve for x
   x = 1,702,057,536/19,806
6. Step 6: Final answer
   x = 85,936.46