Finding the Third Proportional to 41,649 and 61,008

Step by Step Solution

1. Step 1: Write the proportion equation
   41,649 : 61,008 = 61,008 : x
2. Step 2: Convert to fraction form
   41,649/61,008 = 61,008/x
3. Step 3: Cross multiply
   41,649x = 61,008 × 61,008
4. Step 4: Simplify right side
   41,649x = 3,721,976,064
5. Step 5: Solve for x
   x = 3,721,976,064/41,649
6. Step 6: Final answer
   x = 89,365.32