Finding the Third Proportional to 6,228 and 7,870

Step by Step Solution

1. Step 1: Write the proportion equation
   6,228 : 7,870 = 7,870 : x
2. Step 2: Convert to fraction form
   6,228/7,870 = 7,870/x
3. Step 3: Cross multiply
   6,228x = 7,870 × 7,870
4. Step 4: Simplify right side
   6,228x = 61,936,900
5. Step 5: Solve for x
   x = 61,936,900/6,228
6. Step 6: Final answer
   x = 9,944.91