Finding the Third Proportional to 50,509.50 and 75,764.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,509.50 : 75,764.25 = 75,764.25 : x
2. Step 2: Convert to fraction form
   50,509.50/75,764.25 = 75,764.25/x
3. Step 3: Cross multiply
   50,509.50x = 75,764.25 × 75,764.25
4. Step 4: Simplify right side
   50,509.50x = 5,740,221,578.06
5. Step 5: Solve for x
   x = 5,740,221,578.06/50,509.50
6. Step 6: Final answer
   x = 113,646.38