Finding the Third Proportional to 16,013 and 35,057

Step by Step Solution

1. Step 1: Write the proportion equation
   16,013 : 35,057 = 35,057 : x
2. Step 2: Convert to fraction form
   16,013/35,057 = 35,057/x
3. Step 3: Cross multiply
   16,013x = 35,057 × 35,057
4. Step 4: Simplify right side
   16,013x = 1,228,993,249
5. Step 5: Solve for x
   x = 1,228,993,249/16,013
6. Step 6: Final answer
   x = 76,749.72