Finding the Third Proportional to 2,178 and 4,648

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178 : 4,648 = 4,648 : x
2. Step 2: Convert to fraction form
   2,178/4,648 = 4,648/x
3. Step 3: Cross multiply
   2,178x = 4,648 × 4,648
4. Step 4: Simplify right side
   2,178x = 21,603,904
5. Step 5: Solve for x
   x = 21,603,904/2,178
6. Step 6: Final answer
   x = 9,919.15