Finding the Third Proportional to 41,792 and 65,230

Step by Step Solution

1. Step 1: Write the proportion equation
   41,792 : 65,230 = 65,230 : x
2. Step 2: Convert to fraction form
   41,792/65,230 = 65,230/x
3. Step 3: Cross multiply
   41,792x = 65,230 × 65,230
4. Step 4: Simplify right side
   41,792x = 4,254,952,900
5. Step 5: Solve for x
   x = 4,254,952,900/41,792
6. Step 6: Final answer
   x = 101,812.62