Finding the Third Proportional to 9,584 and 10,970

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 10,970 = 10,970 : x
2. Step 2: Convert to fraction form
   9,584/10,970 = 10,970/x
3. Step 3: Cross multiply
   9,584x = 10,970 × 10,970
4. Step 4: Simplify right side
   9,584x = 120,340,900
5. Step 5: Solve for x
   x = 120,340,900/9,584
6. Step 6: Final answer
   x = 12,556.44