Finding the Third Proportional to 16,178 and 35,204

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 35,204 = 35,204 : x
2. Step 2: Convert to fraction form
   16,178/35,204 = 35,204/x
3. Step 3: Cross multiply
   16,178x = 35,204 × 35,204
4. Step 4: Simplify right side
   16,178x = 1,239,321,616
5. Step 5: Solve for x
   x = 1,239,321,616/16,178
6. Step 6: Final answer
   x = 76,605.37