Finding the Third Proportional to 2,078 and 2,270

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078 : 2,270 = 2,270 : x
2. Step 2: Convert to fraction form
   2,078/2,270 = 2,270/x
3. Step 3: Cross multiply
   2,078x = 2,270 × 2,270
4. Step 4: Simplify right side
   2,078x = 5,152,900
5. Step 5: Solve for x
   x = 5,152,900/2,078
6. Step 6: Final answer
   x = 2,479.74