Finding the Third Proportional to 2,144 and 2,296

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144 : 2,296 = 2,296 : x
2. Step 2: Convert to fraction form
   2,144/2,296 = 2,296/x
3. Step 3: Cross multiply
   2,144x = 2,296 × 2,296
4. Step 4: Simplify right side
   2,144x = 5,271,616
5. Step 5: Solve for x
   x = 5,271,616/2,144
6. Step 6: Final answer
   x = 2,458.78