Finding the Third Proportional to 2,085 and 2,256

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085 : 2,256 = 2,256 : x
2. Step 2: Convert to fraction form
   2,085/2,256 = 2,256/x
3. Step 3: Cross multiply
   2,085x = 2,256 × 2,256
4. Step 4: Simplify right side
   2,085x = 5,089,536
5. Step 5: Solve for x
   x = 5,089,536/2,085
6. Step 6: Final answer
   x = 2,441.02