Finding the Third Proportional to 1,648.31 and 3,046.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.31 : 3,046.69 = 3,046.69 : x
2. Step 2: Convert to fraction form
   1,648.31/3,046.69 = 3,046.69/x
3. Step 3: Cross multiply
   1,648.31x = 3,046.69 × 3,046.69
4. Step 4: Simplify right side
   1,648.31x = 9,282,304.72
5. Step 5: Solve for x
   x = 9,282,304.72/1,648.31
6. Step 6: Final answer
   x = 5,631.40