Finding the Third Proportional to 22,072 and 34,198

Step by Step Solution

1. Step 1: Write the proportion equation
   22,072 : 34,198 = 34,198 : x
2. Step 2: Convert to fraction form
   22,072/34,198 = 34,198/x
3. Step 3: Cross multiply
   22,072x = 34,198 × 34,198
4. Step 4: Simplify right side
   22,072x = 1,169,503,204
5. Step 5: Solve for x
   x = 1,169,503,204/22,072
6. Step 6: Final answer
   x = 52,985.83