Finding the Third Proportional to 35,885 and 76,995

Step by Step Solution

1. Step 1: Write the proportion equation
   35,885 : 76,995 = 76,995 : x
2. Step 2: Convert to fraction form
   35,885/76,995 = 76,995/x
3. Step 3: Cross multiply
   35,885x = 76,995 × 76,995
4. Step 4: Simplify right side
   35,885x = 5,928,230,025
5. Step 5: Solve for x
   x = 5,928,230,025/35,885
6. Step 6: Final answer
   x = 165,200.78