Finding the Third Proportional to 30,105 and 40,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,105 : 40,216.50 = 40,216.50 : x
2. Step 2: Convert to fraction form
   30,105/40,216.50 = 40,216.50/x
3. Step 3: Cross multiply
   30,105x = 40,216.50 × 40,216.50
4. Step 4: Simplify right side
   30,105x = 1,617,366,872.25
5. Step 5: Solve for x
   x = 1,617,366,872.25/30,105
6. Step 6: Final answer
   x = 53,724.19