Finding the Third Proportional to 2,314 and 3,066

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314 : 3,066 = 3,066 : x
2. Step 2: Convert to fraction form
   2,314/3,066 = 3,066/x
3. Step 3: Cross multiply
   2,314x = 3,066 × 3,066
4. Step 4: Simplify right side
   2,314x = 9,400,356
5. Step 5: Solve for x
   x = 9,400,356/2,314
6. Step 6: Final answer
   x = 4,062.38