Finding the Third Proportional to 41,774 and 64,689

Step by Step Solution

1. Step 1: Write the proportion equation
   41,774 : 64,689 = 64,689 : x
2. Step 2: Convert to fraction form
   41,774/64,689 = 64,689/x
3. Step 3: Cross multiply
   41,774x = 64,689 × 64,689
4. Step 4: Simplify right side
   41,774x = 4,184,666,721
5. Step 5: Solve for x
   x = 4,184,666,721/41,774
6. Step 6: Final answer
   x = 100,173.95