Finding the Third Proportional to 8,456 and 13,462

Step by Step Solution

1. Step 1: Write the proportion equation
   8,456 : 13,462 = 13,462 : x
2. Step 2: Convert to fraction form
   8,456/13,462 = 13,462/x
3. Step 3: Cross multiply
   8,456x = 13,462 × 13,462
4. Step 4: Simplify right side
   8,456x = 181,225,444
5. Step 5: Solve for x
   x = 181,225,444/8,456
6. Step 6: Final answer
   x = 21,431.58