Finding the Third Proportional to 35,932.75 and 75,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,932.75 : 75,589.25 = 75,589.25 : x
2. Step 2: Convert to fraction form
   35,932.75/75,589.25 = 75,589.25/x
3. Step 3: Cross multiply
   35,932.75x = 75,589.25 × 75,589.25
4. Step 4: Simplify right side
   35,932.75x = 5,713,734,715.56
5. Step 5: Solve for x
   x = 5,713,734,715.56/35,932.75
6. Step 6: Final answer
   x = 159,011.90