Finding the Third Proportional to 2,036 and 3,066

Step by Step Solution

1. Step 1: Write the proportion equation
   2,036 : 3,066 = 3,066 : x
2. Step 2: Convert to fraction form
   2,036/3,066 = 3,066/x
3. Step 3: Cross multiply
   2,036x = 3,066 × 3,066
4. Step 4: Simplify right side
   2,036x = 9,400,356
5. Step 5: Solve for x
   x = 9,400,356/2,036
6. Step 6: Final answer
   x = 4,617.07