Finding the Third Proportional to 22,676 and 35,198

Step by Step Solution

1. Step 1: Write the proportion equation
   22,676 : 35,198 = 35,198 : x
2. Step 2: Convert to fraction form
   22,676/35,198 = 35,198/x
3. Step 3: Cross multiply
   22,676x = 35,198 × 35,198
4. Step 4: Simplify right side
   22,676x = 1,238,899,204
5. Step 5: Solve for x
   x = 1,238,899,204/22,676
6. Step 6: Final answer
   x = 54,634.82