Finding the Third Proportional to 35,934 and 75,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,934 : 75,591.50 = 75,591.50 : x
2. Step 2: Convert to fraction form
   35,934/75,591.50 = 75,591.50/x
3. Step 3: Cross multiply
   35,934x = 75,591.50 × 75,591.50
4. Step 4: Simplify right side
   35,934x = 5,714,074,872.25
5. Step 5: Solve for x
   x = 5,714,074,872.25/35,934
6. Step 6: Final answer
   x = 159,015.83