Finding the Third Proportional to 2,021.63 and 3,202.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,021.63 : 3,202.31 = 3,202.31 : x
2. Step 2: Convert to fraction form
   2,021.63/3,202.31 = 3,202.31/x
3. Step 3: Cross multiply
   2,021.63x = 3,202.31 × 3,202.31
4. Step 4: Simplify right side
   2,021.63x = 10,254,805.35
5. Step 5: Solve for x
   x = 10,254,805.35/2,021.63
6. Step 6: Final answer
   x = 5,072.56