Finding the Third Proportional to 41,627.25 and 65,229.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,627.25 : 65,229.75 = 65,229.75 : x
2. Step 2: Convert to fraction form
   41,627.25/65,229.75 = 65,229.75/x
3. Step 3: Cross multiply
   41,627.25x = 65,229.75 × 65,229.75
4. Step 4: Simplify right side
   41,627.25x = 4,254,920,285.06
5. Step 5: Solve for x
   x = 4,254,920,285.06/41,627.25
6. Step 6: Final answer
   x = 102,214.78