Finding the Third Proportional to 41,520 and 65,256

Step by Step Solution

1. Step 1: Write the proportion equation
   41,520 : 65,256 = 65,256 : x
2. Step 2: Convert to fraction form
   41,520/65,256 = 65,256/x
3. Step 3: Cross multiply
   41,520x = 65,256 × 65,256
4. Step 4: Simplify right side
   41,520x = 4,258,345,536
5. Step 5: Solve for x
   x = 4,258,345,536/41,520
6. Step 6: Final answer
   x = 102,561.31