Finding the Third Proportional to 41,525 and 65,264

Step by Step Solution

1. Step 1: Write the proportion equation
   41,525 : 65,264 = 65,264 : x
2. Step 2: Convert to fraction form
   41,525/65,264 = 65,264/x
3. Step 3: Cross multiply
   41,525x = 65,264 × 65,264
4. Step 4: Simplify right side
   41,525x = 4,259,389,696
5. Step 5: Solve for x
   x = 4,259,389,696/41,525
6. Step 6: Final answer
   x = 102,574.10