Finding the Third Proportional to 41,530 and 59,338

Step by Step Solution

1. Step 1: Write the proportion equation
   41,530 : 59,338 = 59,338 : x
2. Step 2: Convert to fraction form
   41,530/59,338 = 59,338/x
3. Step 3: Cross multiply
   41,530x = 59,338 × 59,338
4. Step 4: Simplify right side
   41,530x = 3,520,998,244
5. Step 5: Solve for x
   x = 3,520,998,244/41,530
6. Step 6: Final answer
   x = 84,782.04