Finding the Third Proportional to 41,492 and 65,970

Step by Step Solution

1. Step 1: Write the proportion equation
   41,492 : 65,970 = 65,970 : x
2. Step 2: Convert to fraction form
   41,492/65,970 = 65,970/x
3. Step 3: Cross multiply
   41,492x = 65,970 × 65,970
4. Step 4: Simplify right side
   41,492x = 4,352,040,900
5. Step 5: Solve for x
   x = 4,352,040,900/41,492
6. Step 6: Final answer
   x = 104,888.67