Finding the Third Proportional to 35,524 and 59,198

Step by Step Solution

1. Step 1: Write the proportion equation
   35,524 : 59,198 = 59,198 : x
2. Step 2: Convert to fraction form
   35,524/59,198 = 59,198/x
3. Step 3: Cross multiply
   35,524x = 59,198 × 59,198
4. Step 4: Simplify right side
   35,524x = 3,504,403,204
5. Step 5: Solve for x
   x = 3,504,403,204/35,524
6. Step 6: Final answer
   x = 98,648.89