Finding the Third Proportional to 41,948 and 65,029

Step by Step Solution

1. Step 1: Write the proportion equation
   41,948 : 65,029 = 65,029 : x
2. Step 2: Convert to fraction form
   41,948/65,029 = 65,029/x
3. Step 3: Cross multiply
   41,948x = 65,029 × 65,029
4. Step 4: Simplify right side
   41,948x = 4,228,770,841
5. Step 5: Solve for x
   x = 4,228,770,841/41,948
6. Step 6: Final answer
   x = 100,809.83