Finding the Third Proportional to 1,923.75 and 2,404.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,923.75 : 2,404.69 = 2,404.69 : x
2. Step 2: Convert to fraction form
   1,923.75/2,404.69 = 2,404.69/x
3. Step 3: Cross multiply
   1,923.75x = 2,404.69 × 2,404.69
4. Step 4: Simplify right side
   1,923.75x = 5,782,521.97
5. Step 5: Solve for x
   x = 5,782,521.97/1,923.75
6. Step 6: Final answer
   x = 3,005.86