Finding the Third Proportional to 40,638 and 65,493

Step by Step Solution

1. Step 1: Write the proportion equation
   40,638 : 65,493 = 65,493 : x
2. Step 2: Convert to fraction form
   40,638/65,493 = 65,493/x
3. Step 3: Cross multiply
   40,638x = 65,493 × 65,493
4. Step 4: Simplify right side
   40,638x = 4,289,333,049
5. Step 5: Solve for x
   x = 4,289,333,049/40,638
6. Step 6: Final answer
   x = 105,549.81