Finding the Third Proportional to 35,856 and 73,494

Step by Step Solution

1. Step 1: Write the proportion equation
   35,856 : 73,494 = 73,494 : x
2. Step 2: Convert to fraction form
   35,856/73,494 = 73,494/x
3. Step 3: Cross multiply
   35,856x = 73,494 × 73,494
4. Step 4: Simplify right side
   35,856x = 5,401,368,036
5. Step 5: Solve for x
   x = 5,401,368,036/35,856
6. Step 6: Final answer
   x = 150,640.56