Finding the Third Proportional to 16,198 and 34,326

Step by Step Solution

1. Step 1: Write the proportion equation
   16,198 : 34,326 = 34,326 : x
2. Step 2: Convert to fraction form
   16,198/34,326 = 34,326/x
3. Step 3: Cross multiply
   16,198x = 34,326 × 34,326
4. Step 4: Simplify right side
   16,198x = 1,178,274,276
5. Step 5: Solve for x
   x = 1,178,274,276/16,198
6. Step 6: Final answer
   x = 72,741.96