Finding the Third Proportional to 11,648 and 13,216

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648 : 13,216 = 13,216 : x
2. Step 2: Convert to fraction form
   11,648/13,216 = 13,216/x
3. Step 3: Cross multiply
   11,648x = 13,216 × 13,216
4. Step 4: Simplify right side
   11,648x = 174,662,656
5. Step 5: Solve for x
   x = 174,662,656/11,648
6. Step 6: Final answer
   x = 14,995.08