Finding the Third Proportional to 6,870 and 10,288

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870 : 10,288 = 10,288 : x
2. Step 2: Convert to fraction form
   6,870/10,288 = 10,288/x
3. Step 3: Cross multiply
   6,870x = 10,288 × 10,288
4. Step 4: Simplify right side
   6,870x = 105,842,944
5. Step 5: Solve for x
   x = 105,842,944/6,870
6. Step 6: Final answer
   x = 15,406.54