Finding the Third Proportional to 6,844 and 10,915

Step by Step Solution

1. Step 1: Write the proportion equation
   6,844 : 10,915 = 10,915 : x
2. Step 2: Convert to fraction form
   6,844/10,915 = 10,915/x
3. Step 3: Cross multiply
   6,844x = 10,915 × 10,915
4. Step 4: Simplify right side
   6,844x = 119,137,225
5. Step 5: Solve for x
   x = 119,137,225/6,844
6. Step 6: Final answer
   x = 17,407.54