Finding the Third Proportional to 16,156 and 34,266

Step by Step Solution

1. Step 1: Write the proportion equation
   16,156 : 34,266 = 34,266 : x
2. Step 2: Convert to fraction form
   16,156/34,266 = 34,266/x
3. Step 3: Cross multiply
   16,156x = 34,266 × 34,266
4. Step 4: Simplify right side
   16,156x = 1,174,158,756
5. Step 5: Solve for x
   x = 1,174,158,756/16,156
6. Step 6: Final answer
   x = 72,676.33