Finding the Third Proportional to 16,282 and 35,462

Step by Step Solution

1. Step 1: Write the proportion equation
   16,282 : 35,462 = 35,462 : x
2. Step 2: Convert to fraction form
   16,282/35,462 = 35,462/x
3. Step 3: Cross multiply
   16,282x = 35,462 × 35,462
4. Step 4: Simplify right side
   16,282x = 1,257,553,444
5. Step 5: Solve for x
   x = 1,257,553,444/16,282
6. Step 6: Final answer
   x = 77,235.81