Finding the Third Proportional to 21,496 and 34,198

Step by Step Solution

1. Step 1: Write the proportion equation
   21,496 : 34,198 = 34,198 : x
2. Step 2: Convert to fraction form
   21,496/34,198 = 34,198/x
3. Step 3: Cross multiply
   21,496x = 34,198 × 34,198
4. Step 4: Simplify right side
   21,496x = 1,169,503,204
5. Step 5: Solve for x
   x = 1,169,503,204/21,496
6. Step 6: Final answer
   x = 54,405.62