Finding the Third Proportional to 1,923.75 and 3,046.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,923.75 : 3,046.78 = 3,046.78 : x
2. Step 2: Convert to fraction form
   1,923.75/3,046.78 = 3,046.78/x
3. Step 3: Cross multiply
   1,923.75x = 3,046.78 × 3,046.78
4. Step 4: Simplify right side
   1,923.75x = 9,282,875.99
5. Step 5: Solve for x
   x = 9,282,875.99/1,923.75
6. Step 6: Final answer
   x = 4,825.41