Finding the Third Proportional to 2,021.63 and 3,066.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,021.63 : 3,066.56 = 3,066.56 : x
2. Step 2: Convert to fraction form
   2,021.63/3,066.56 = 3,066.56/x
3. Step 3: Cross multiply
   2,021.63x = 3,066.56 × 3,066.56
4. Step 4: Simplify right side
   2,021.63x = 9,403,805.57
5. Step 5: Solve for x
   x = 9,403,805.57/2,021.63
6. Step 6: Final answer
   x = 4,651.61