Finding the Third Proportional to 2,066.77 and 3,204.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.77 : 3,204.14 = 3,204.14 : x
2. Step 2: Convert to fraction form
   2,066.77/3,204.14 = 3,204.14/x
3. Step 3: Cross multiply
   2,066.77x = 3,204.14 × 3,204.14
4. Step 4: Simplify right side
   2,066.77x = 10,266,517.14
5. Step 5: Solve for x
   x = 10,266,517.14/2,066.77
6. Step 6: Final answer
   x = 4,967.43