Finding the Third Proportional to 10,366 and 16,462

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 16,462 = 16,462 : x
2. Step 2: Convert to fraction form
   10,366/16,462 = 16,462/x
3. Step 3: Cross multiply
   10,366x = 16,462 × 16,462
4. Step 4: Simplify right side
   10,366x = 270,997,444
5. Step 5: Solve for x
   x = 270,997,444/10,366
6. Step 6: Final answer
   x = 26,142.91