Finding the Third Proportional to 35,612 and 76,936

Step by Step Solution

1. Step 1: Write the proportion equation
   35,612 : 76,936 = 76,936 : x
2. Step 2: Convert to fraction form
   35,612/76,936 = 76,936/x
3. Step 3: Cross multiply
   35,612x = 76,936 × 76,936
4. Step 4: Simplify right side
   35,612x = 5,919,148,096
5. Step 5: Solve for x
   x = 5,919,148,096/35,612
6. Step 6: Final answer
   x = 166,212.18