Finding the Third Proportional to 9,584 and 14,648

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 14,648 = 14,648 : x
2. Step 2: Convert to fraction form
   9,584/14,648 = 14,648/x
3. Step 3: Cross multiply
   9,584x = 14,648 × 14,648
4. Step 4: Simplify right side
   9,584x = 214,563,904
5. Step 5: Solve for x
   x = 214,563,904/9,584
6. Step 6: Final answer
   x = 22,387.72