Finding the Third Proportional to 41,526 and 65,265

Step by Step Solution

1. Step 1: Write the proportion equation
   41,526 : 65,265 = 65,265 : x
2. Step 2: Convert to fraction form
   41,526/65,265 = 65,265/x
3. Step 3: Cross multiply
   41,526x = 65,265 × 65,265
4. Step 4: Simplify right side
   41,526x = 4,259,520,225
5. Step 5: Solve for x
   x = 4,259,520,225/41,526
6. Step 6: Final answer
   x = 102,574.78