Finding the Third Proportional to 35,933 and 75,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,933 : 75,590.50 = 75,590.50 : x
2. Step 2: Convert to fraction form
   35,933/75,590.50 = 75,590.50/x
3. Step 3: Cross multiply
   35,933x = 75,590.50 × 75,590.50
4. Step 4: Simplify right side
   35,933x = 5,713,923,690.25
5. Step 5: Solve for x
   x = 5,713,923,690.25/35,933
6. Step 6: Final answer
   x = 159,016.05