Finding the Third Proportional to 16,462 and 35,734

Step by Step Solution

1. Step 1: Write the proportion equation
   16,462 : 35,734 = 35,734 : x
2. Step 2: Convert to fraction form
   16,462/35,734 = 35,734/x
3. Step 3: Cross multiply
   16,462x = 35,734 × 35,734
4. Step 4: Simplify right side
   16,462x = 1,276,918,756
5. Step 5: Solve for x
   x = 1,276,918,756/16,462
6. Step 6: Final answer
   x = 77,567.66