Finding the Third Proportional to 16,138 and 35,166

Step by Step Solution

1. Step 1: Write the proportion equation
   16,138 : 35,166 = 35,166 : x
2. Step 2: Convert to fraction form
   16,138/35,166 = 35,166/x
3. Step 3: Cross multiply
   16,138x = 35,166 × 35,166
4. Step 4: Simplify right side
   16,138x = 1,236,647,556
5. Step 5: Solve for x
   x = 1,236,647,556/16,138
6. Step 6: Final answer
   x = 76,629.54