Finding the Third Proportional to 9,584 and 20,680

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 20,680 = 20,680 : x
2. Step 2: Convert to fraction form
   9,584/20,680 = 20,680/x
3. Step 3: Cross multiply
   9,584x = 20,680 × 20,680
4. Step 4: Simplify right side
   9,584x = 427,662,400
5. Step 5: Solve for x
   x = 427,662,400/9,584
6. Step 6: Final answer
   x = 44,622.54