Finding the Third Proportional to 36,198 and 76,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,198 : 76,765.50 = 76,765.50 : x
2. Step 2: Convert to fraction form
   36,198/76,765.50 = 76,765.50/x
3. Step 3: Cross multiply
   36,198x = 76,765.50 × 76,765.50
4. Step 4: Simplify right side
   36,198x = 5,892,941,990.25
5. Step 5: Solve for x
   x = 5,892,941,990.25/36,198
6. Step 6: Final answer
   x = 162,797.45