Finding the Third Proportional to 9,584 and 13,144

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 13,144 = 13,144 : x
2. Step 2: Convert to fraction form
   9,584/13,144 = 13,144/x
3. Step 3: Cross multiply
   9,584x = 13,144 × 13,144
4. Step 4: Simplify right side
   9,584x = 172,764,736
5. Step 5: Solve for x
   x = 172,764,736/9,584
6. Step 6: Final answer
   x = 18,026.37