Finding the Third Proportional to 35,935.50 and 75,594.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,935.50 : 75,594.75 = 75,594.75 : x
2. Step 2: Convert to fraction form
   35,935.50/75,594.75 = 75,594.75/x
3. Step 3: Cross multiply
   35,935.50x = 75,594.75 × 75,594.75
4. Step 4: Simplify right side
   35,935.50x = 5,714,566,227.56
5. Step 5: Solve for x
   x = 5,714,566,227.56/35,935.50
6. Step 6: Final answer
   x = 159,022.87