Finding the Third Proportional to 6,938 and 11,096

Step by Step Solution

1. Step 1: Write the proportion equation
   6,938 : 11,096 = 11,096 : x
2. Step 2: Convert to fraction form
   6,938/11,096 = 11,096/x
3. Step 3: Cross multiply
   6,938x = 11,096 × 11,096
4. Step 4: Simplify right side
   6,938x = 123,121,216
5. Step 5: Solve for x
   x = 123,121,216/6,938
6. Step 6: Final answer
   x = 17,745.92