Finding the Third Proportional to 2,523.75 and 3,873.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.75 : 3,873.94 = 3,873.94 : x
2. Step 2: Convert to fraction form
   2,523.75/3,873.94 = 3,873.94/x
3. Step 3: Cross multiply
   2,523.75x = 3,873.94 × 3,873.94
4. Step 4: Simplify right side
   2,523.75x = 15,007,391.75
5. Step 5: Solve for x
   x = 15,007,391.75/2,523.75
6. Step 6: Final answer
   x = 5,946.47