Finding the Third Proportional to 39,198 and 59,162

Step by Step Solution

1. Step 1: Write the proportion equation
   39,198 : 59,162 = 59,162 : x
2. Step 2: Convert to fraction form
   39,198/59,162 = 59,162/x
3. Step 3: Cross multiply
   39,198x = 59,162 × 59,162
4. Step 4: Simplify right side
   39,198x = 3,500,142,244
5. Step 5: Solve for x
   x = 3,500,142,244/39,198
6. Step 6: Final answer
   x = 89,293.90