Finding the Third Proportional to 8,454 and 12,870

Step by Step Solution

1. Step 1: Write the proportion equation
   8,454 : 12,870 = 12,870 : x
2. Step 2: Convert to fraction form
   8,454/12,870 = 12,870/x
3. Step 3: Cross multiply
   8,454x = 12,870 × 12,870
4. Step 4: Simplify right side
   8,454x = 165,636,900
5. Step 5: Solve for x
   x = 165,636,900/8,454
6. Step 6: Final answer
   x = 19,592.73