Finding the Third Proportional to 3,870 and 7,836

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870 : 7,836 = 7,836 : x
2. Step 2: Convert to fraction form
   3,870/7,836 = 7,836/x
3. Step 3: Cross multiply
   3,870x = 7,836 × 7,836
4. Step 4: Simplify right side
   3,870x = 61,402,896
5. Step 5: Solve for x
   x = 61,402,896/3,870
6. Step 6: Final answer
   x = 15,866.38