Finding the Third Proportional to 1,216 and 1,648

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216 : 1,648 = 1,648 : x
2. Step 2: Convert to fraction form
   1,216/1,648 = 1,648/x
3. Step 3: Cross multiply
   1,216x = 1,648 × 1,648
4. Step 4: Simplify right side
   1,216x = 2,715,904
5. Step 5: Solve for x
   x = 2,715,904/1,216
6. Step 6: Final answer
   x = 2,233.47