Finding the Third Proportional to 35,649 and 72,162

Step by Step Solution

1. Step 1: Write the proportion equation
   35,649 : 72,162 = 72,162 : x
2. Step 2: Convert to fraction form
   35,649/72,162 = 72,162/x
3. Step 3: Cross multiply
   35,649x = 72,162 × 72,162
4. Step 4: Simplify right side
   35,649x = 5,207,354,244
5. Step 5: Solve for x
   x = 5,207,354,244/35,649
6. Step 6: Final answer
   x = 146,072.94