Finding the Third Proportional to 9,584 and 19,360

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 19,360 = 19,360 : x
2. Step 2: Convert to fraction form
   9,584/19,360 = 19,360/x
3. Step 3: Cross multiply
   9,584x = 19,360 × 19,360
4. Step 4: Simplify right side
   9,584x = 374,809,600
5. Step 5: Solve for x
   x = 374,809,600/9,584
6. Step 6: Final answer
   x = 39,107.85