Finding the Third Proportional to 34,198 and 51,162

Step by Step Solution

1. Step 1: Write the proportion equation
   34,198 : 51,162 = 51,162 : x
2. Step 2: Convert to fraction form
   34,198/51,162 = 51,162/x
3. Step 3: Cross multiply
   34,198x = 51,162 × 51,162
4. Step 4: Simplify right side
   34,198x = 2,617,550,244
5. Step 5: Solve for x
   x = 2,617,550,244/34,198
6. Step 6: Final answer
   x = 76,541.03