Finding the Third Proportional to 16,084 and 35,612

Step by Step Solution

1. Step 1: Write the proportion equation
   16,084 : 35,612 = 35,612 : x
2. Step 2: Convert to fraction form
   16,084/35,612 = 35,612/x
3. Step 3: Cross multiply
   16,084x = 35,612 × 35,612
4. Step 4: Simplify right side
   16,084x = 1,268,214,544
5. Step 5: Solve for x
   x = 1,268,214,544/16,084
6. Step 6: Final answer
   x = 78,849.45