Finding the Third Proportional to 36,205.75 and 76,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,205.75 : 76,781.50 = 76,781.50 : x
2. Step 2: Convert to fraction form
   36,205.75/76,781.50 = 76,781.50/x
3. Step 3: Cross multiply
   36,205.75x = 76,781.50 × 76,781.50
4. Step 4: Simplify right side
   36,205.75x = 5,895,398,742.25
5. Step 5: Solve for x
   x = 5,895,398,742.25/36,205.75
6. Step 6: Final answer
   x = 162,830.45