Finding the Third Proportional to 2,076 and 4,834

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076 : 4,834 = 4,834 : x
2. Step 2: Convert to fraction form
   2,076/4,834 = 4,834/x
3. Step 3: Cross multiply
   2,076x = 4,834 × 4,834
4. Step 4: Simplify right side
   2,076x = 23,367,556
5. Step 5: Solve for x
   x = 23,367,556/2,076
6. Step 6: Final answer
   x = 11,256.05