Finding the Third Proportional to 35,928.75 and 75,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,928.75 : 75,578.25 = 75,578.25 : x
2. Step 2: Convert to fraction form
   35,928.75/75,578.25 = 75,578.25/x
3. Step 3: Cross multiply
   35,928.75x = 75,578.25 × 75,578.25
4. Step 4: Simplify right side
   35,928.75x = 5,712,071,873.06
5. Step 5: Solve for x
   x = 5,712,071,873.06/35,928.75
6. Step 6: Final answer
   x = 158,983.32