Finding the Third Proportional to 36,405 and 75,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,405 : 75,919.50 = 75,919.50 : x
2. Step 2: Convert to fraction form
   36,405/75,919.50 = 75,919.50/x
3. Step 3: Cross multiply
   36,405x = 75,919.50 × 75,919.50
4. Step 4: Simplify right side
   36,405x = 5,763,770,480.25
5. Step 5: Solve for x
   x = 5,763,770,480.25/36,405
6. Step 6: Final answer
   x = 158,323.60