Finding the Third Proportional to 2,278 and 4,801

Step by Step Solution

1. Step 1: Write the proportion equation
   2,278 : 4,801 = 4,801 : x
2. Step 2: Convert to fraction form
   2,278/4,801 = 4,801/x
3. Step 3: Cross multiply
   2,278x = 4,801 × 4,801
4. Step 4: Simplify right side
   2,278x = 23,049,601
5. Step 5: Solve for x
   x = 23,049,601/2,278
6. Step 6: Final answer
   x = 10,118.35