Finding the Third Proportional to 1,066 and 2,314

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066 : 2,314 = 2,314 : x
2. Step 2: Convert to fraction form
   1,066/2,314 = 2,314/x
3. Step 3: Cross multiply
   1,066x = 2,314 × 2,314
4. Step 4: Simplify right side
   1,066x = 5,354,596
5. Step 5: Solve for x
   x = 5,354,596/1,066
6. Step 6: Final answer
   x = 5,023.07