Finding the Third Proportional to 30,636 and 35,496

Step by Step Solution

1. Step 1: Write the proportion equation
   30,636 : 35,496 = 35,496 : x
2. Step 2: Convert to fraction form
   30,636/35,496 = 35,496/x
3. Step 3: Cross multiply
   30,636x = 35,496 × 35,496
4. Step 4: Simplify right side
   30,636x = 1,259,966,016
5. Step 5: Solve for x
   x = 1,259,966,016/30,636
6. Step 6: Final answer
   x = 41,126.98