Finding the Third Proportional to 1,648.79 and 2,404.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.79 : 2,404.85 = 2,404.85 : x
2. Step 2: Convert to fraction form
   1,648.79/2,404.85 = 2,404.85/x
3. Step 3: Cross multiply
   1,648.79x = 2,404.85 × 2,404.85
4. Step 4: Simplify right side
   1,648.79x = 5,783,282.86
5. Step 5: Solve for x
   x = 5,783,282.86/1,648.79
6. Step 6: Final answer
   x = 3,507.59