Finding the Third Proportional to 6,858 and 10,141.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,858 : 10,141.88 = 10,141.88 : x
2. Step 2: Convert to fraction form
   6,858/10,141.88 = 10,141.88/x
3. Step 3: Cross multiply
   6,858x = 10,141.88 × 10,141.88
4. Step 4: Simplify right side
   6,858x = 102,857,628.52
5. Step 5: Solve for x
   x = 102,857,628.52/6,858
6. Step 6: Final answer
   x = 14,998.20