Finding the Third Proportional to 6,896 and 10,956

Step by Step Solution

1. Step 1: Write the proportion equation
   6,896 : 10,956 = 10,956 : x
2. Step 2: Convert to fraction form
   6,896/10,956 = 10,956/x
3. Step 3: Cross multiply
   6,896x = 10,956 × 10,956
4. Step 4: Simplify right side
   6,896x = 120,033,936
5. Step 5: Solve for x
   x = 120,033,936/6,896
6. Step 6: Final answer
   x = 17,406.31