Finding the Third Proportional to 41,774 and 65,631

Step by Step Solution

1. Step 1: Write the proportion equation
   41,774 : 65,631 = 65,631 : x
2. Step 2: Convert to fraction form
   41,774/65,631 = 65,631/x
3. Step 3: Cross multiply
   41,774x = 65,631 × 65,631
4. Step 4: Simplify right side
   41,774x = 4,307,428,161
5. Step 5: Solve for x
   x = 4,307,428,161/41,774
6. Step 6: Final answer
   x = 103,112.66