Finding the Third Proportional to 36,085.50 and 76,119.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,085.50 : 76,119.75 = 76,119.75 : x
2. Step 2: Convert to fraction form
   36,085.50/76,119.75 = 76,119.75/x
3. Step 3: Cross multiply
   36,085.50x = 76,119.75 × 76,119.75
4. Step 4: Simplify right side
   36,085.50x = 5,794,216,340.06
5. Step 5: Solve for x
   x = 5,794,216,340.06/36,085.50
6. Step 6: Final answer
   x = 160,569.10