Finding the Third Proportional to 6,584 and 8,870

Step by Step Solution

1. Step 1: Write the proportion equation
   6,584 : 8,870 = 8,870 : x
2. Step 2: Convert to fraction form
   6,584/8,870 = 8,870/x
3. Step 3: Cross multiply
   6,584x = 8,870 × 8,870
4. Step 4: Simplify right side
   6,584x = 78,676,900
5. Step 5: Solve for x
   x = 78,676,900/6,584
6. Step 6: Final answer
   x = 11,949.71