Finding the Third Proportional to 36,229.50 and 75,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,229.50 : 75,766.50 = 75,766.50 : x
2. Step 2: Convert to fraction form
   36,229.50/75,766.50 = 75,766.50/x
3. Step 3: Cross multiply
   36,229.50x = 75,766.50 × 75,766.50
4. Step 4: Simplify right side
   36,229.50x = 5,740,562,522.25
5. Step 5: Solve for x
   x = 5,740,562,522.25/36,229.50
6. Step 6: Final answer
   x = 158,449.95