Finding the Third Proportional to 39,198 and 59,154

Step by Step Solution

1. Step 1: Write the proportion equation
   39,198 : 59,154 = 59,154 : x
2. Step 2: Convert to fraction form
   39,198/59,154 = 59,154/x
3. Step 3: Cross multiply
   39,198x = 59,154 × 59,154
4. Step 4: Simplify right side
   39,198x = 3,499,195,716
5. Step 5: Solve for x
   x = 3,499,195,716/39,198
6. Step 6: Final answer
   x = 89,269.75