Finding the Third Proportional to 6,896 and 13,216

Step by Step Solution

1. Step 1: Write the proportion equation
   6,896 : 13,216 = 13,216 : x
2. Step 2: Convert to fraction form
   6,896/13,216 = 13,216/x
3. Step 3: Cross multiply
   6,896x = 13,216 × 13,216
4. Step 4: Simplify right side
   6,896x = 174,662,656
5. Step 5: Solve for x
   x = 174,662,656/6,896
6. Step 6: Final answer
   x = 25,328.11