Finding the Third Proportional to 6,847 and 10,898

Step by Step Solution

1. Step 1: Write the proportion equation
   6,847 : 10,898 = 10,898 : x
2. Step 2: Convert to fraction form
   6,847/10,898 = 10,898/x
3. Step 3: Cross multiply
   6,847x = 10,898 × 10,898
4. Step 4: Simplify right side
   6,847x = 118,766,404
5. Step 5: Solve for x
   x = 118,766,404/6,847
6. Step 6: Final answer
   x = 17,345.76