Finding the Third Proportional to 2,270 and 4,066

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270 : 4,066 = 4,066 : x
2. Step 2: Convert to fraction form
   2,270/4,066 = 4,066/x
3. Step 3: Cross multiply
   2,270x = 4,066 × 4,066
4. Step 4: Simplify right side
   2,270x = 16,532,356
5. Step 5: Solve for x
   x = 16,532,356/2,270
6. Step 6: Final answer
   x = 7,282.98