Finding the Third Proportional to 1,414.88 and 3,046.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.88 : 3,046.69 = 3,046.69 : x
2. Step 2: Convert to fraction form
   1,414.88/3,046.69 = 3,046.69/x
3. Step 3: Cross multiply
   1,414.88x = 3,046.69 × 3,046.69
4. Step 4: Simplify right side
   1,414.88x = 9,282,304.72
5. Step 5: Solve for x
   x = 9,282,304.72/1,414.88
6. Step 6: Final answer
   x = 6,560.51