Finding the Third Proportional to 6,844 and 10,014

Step by Step Solution

1. Step 1: Write the proportion equation
   6,844 : 10,014 = 10,014 : x
2. Step 2: Convert to fraction form
   6,844/10,014 = 10,014/x
3. Step 3: Cross multiply
   6,844x = 10,014 × 10,014
4. Step 4: Simplify right side
   6,844x = 100,280,196
5. Step 5: Solve for x
   x = 100,280,196/6,844
6. Step 6: Final answer
   x = 14,652.28