Finding the Third Proportional to 41,824 and 61,398

Step by Step Solution

1. Step 1: Write the proportion equation
   41,824 : 61,398 = 61,398 : x
2. Step 2: Convert to fraction form
   41,824/61,398 = 61,398/x
3. Step 3: Cross multiply
   41,824x = 61,398 × 61,398
4. Step 4: Simplify right side
   41,824x = 3,769,714,404
5. Step 5: Solve for x
   x = 3,769,714,404/41,824
6. Step 6: Final answer
   x = 90,132.80