Finding the Third Proportional to 41,644.13 and 65,255.63

Step by Step Solution

1. Step 1: Write the proportion equation
   41,644.13 : 65,255.63 = 65,255.63 : x
2. Step 2: Convert to fraction form
   41,644.13/65,255.63 = 65,255.63/x
3. Step 3: Cross multiply
   41,644.13x = 65,255.63 × 65,255.63
4. Step 4: Simplify right side
   41,644.13x = 4,258,296,594.14
5. Step 5: Solve for x
   x = 4,258,296,594.14/41,644.13
6. Step 6: Final answer
   x = 102,254.44