Finding the Third Proportional to 35,811.50 and 75,891.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,811.50 : 75,891.75 = 75,891.75 : x
2. Step 2: Convert to fraction form
   35,811.50/75,891.75 = 75,891.75/x
3. Step 3: Cross multiply
   35,811.50x = 75,891.75 × 75,891.75
4. Step 4: Simplify right side
   35,811.50x = 5,759,557,718.06
5. Step 5: Solve for x
   x = 5,759,557,718.06/35,811.50
6. Step 6: Final answer
   x = 160,829.84