Finding the Third Proportional to 35,736 and 75,504

Step by Step Solution

1. Step 1: Write the proportion equation
   35,736 : 75,504 = 75,504 : x
2. Step 2: Convert to fraction form
   35,736/75,504 = 75,504/x
3. Step 3: Cross multiply
   35,736x = 75,504 × 75,504
4. Step 4: Simplify right side
   35,736x = 5,700,854,016
5. Step 5: Solve for x
   x = 5,700,854,016/35,736
6. Step 6: Final answer
   x = 159,526.92