Finding the Third Proportional to 16,115 and 34,166

Step by Step Solution

1. Step 1: Write the proportion equation
   16,115 : 34,166 = 34,166 : x
2. Step 2: Convert to fraction form
   16,115/34,166 = 34,166/x
3. Step 3: Cross multiply
   16,115x = 34,166 × 34,166
4. Step 4: Simplify right side
   16,115x = 1,167,315,556
5. Step 5: Solve for x
   x = 1,167,315,556/16,115
6. Step 6: Final answer
   x = 72,436.58