Finding the Third Proportional to 41,069 and 65,768

Step by Step Solution

1. Step 1: Write the proportion equation
   41,069 : 65,768 = 65,768 : x
2. Step 2: Convert to fraction form
   41,069/65,768 = 65,768/x
3. Step 3: Cross multiply
   41,069x = 65,768 × 65,768
4. Step 4: Simplify right side
   41,069x = 4,325,429,824
5. Step 5: Solve for x
   x = 4,325,429,824/41,069
6. Step 6: Final answer
   x = 105,321.04