Finding the Third Proportional to 35,996 and 79,150

Step by Step Solution

1. Step 1: Write the proportion equation
   35,996 : 79,150 = 79,150 : x
2. Step 2: Convert to fraction form
   35,996/79,150 = 79,150/x
3. Step 3: Cross multiply
   35,996x = 79,150 × 79,150
4. Step 4: Simplify right side
   35,996x = 6,264,722,500
5. Step 5: Solve for x
   x = 6,264,722,500/35,996
6. Step 6: Final answer
   x = 174,039.41