Finding the Third Proportional to 35,968 and 76,544

Step by Step Solution

1. Step 1: Write the proportion equation
   35,968 : 76,544 = 76,544 : x
2. Step 2: Convert to fraction form
   35,968/76,544 = 76,544/x
3. Step 3: Cross multiply
   35,968x = 76,544 × 76,544
4. Step 4: Simplify right side
   35,968x = 5,858,983,936
5. Step 5: Solve for x
   x = 5,858,983,936/35,968
6. Step 6: Final answer
   x = 162,894.35