Finding the Third Proportional to 16,084 and 35,858

Step by Step Solution

1. Step 1: Write the proportion equation
   16,084 : 35,858 = 35,858 : x
2. Step 2: Convert to fraction form
   16,084/35,858 = 35,858/x
3. Step 3: Cross multiply
   16,084x = 35,858 × 35,858
4. Step 4: Simplify right side
   16,084x = 1,285,796,164
5. Step 5: Solve for x
   x = 1,285,796,164/16,084
6. Step 6: Final answer
   x = 79,942.56