Finding the Third Proportional to 41,414 and 65,806

Step by Step Solution

1. Step 1: Write the proportion equation
   41,414 : 65,806 = 65,806 : x
2. Step 2: Convert to fraction form
   41,414/65,806 = 65,806/x
3. Step 3: Cross multiply
   41,414x = 65,806 × 65,806
4. Step 4: Simplify right side
   41,414x = 4,330,429,636
5. Step 5: Solve for x
   x = 4,330,429,636/41,414
6. Step 6: Final answer
   x = 104,564.39