Finding the Third Proportional to 41,436 and 64,636

Step by Step Solution

1. Step 1: Write the proportion equation
   41,436 : 64,636 = 64,636 : x
2. Step 2: Convert to fraction form
   41,436/64,636 = 64,636/x
3. Step 3: Cross multiply
   41,436x = 64,636 × 64,636
4. Step 4: Simplify right side
   41,436x = 4,177,812,496
5. Step 5: Solve for x
   x = 4,177,812,496/41,436
6. Step 6: Final answer
   x = 100,825.67