Finding the Third Proportional to 6,846 and 10,878

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 10,878 = 10,878 : x
2. Step 2: Convert to fraction form
   6,846/10,878 = 10,878/x
3. Step 3: Cross multiply
   6,846x = 10,878 × 10,878
4. Step 4: Simplify right side
   6,846x = 118,330,884
5. Step 5: Solve for x
   x = 118,330,884/6,846
6. Step 6: Final answer
   x = 17,284.67