Finding the Third Proportional to 9,641 and 13,462

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641 : 13,462 = 13,462 : x
2. Step 2: Convert to fraction form
   9,641/13,462 = 13,462/x
3. Step 3: Cross multiply
   9,641x = 13,462 × 13,462
4. Step 4: Simplify right side
   9,641x = 181,225,444
5. Step 5: Solve for x
   x = 181,225,444/9,641
6. Step 6: Final answer
   x = 18,797.37