Finding the Third Proportional to 41,578 and 65,272

Step by Step Solution

1. Step 1: Write the proportion equation
   41,578 : 65,272 = 65,272 : x
2. Step 2: Convert to fraction form
   41,578/65,272 = 65,272/x
3. Step 3: Cross multiply
   41,578x = 65,272 × 65,272
4. Step 4: Simplify right side
   41,578x = 4,260,433,984
5. Step 5: Solve for x
   x = 4,260,433,984/41,578
6. Step 6: Final answer
   x = 102,468.47