Finding the Third Proportional to 2,362.75 and 3,478.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.75 : 3,478.88 = 3,478.88 : x
2. Step 2: Convert to fraction form
   2,362.75/3,478.88 = 3,478.88/x
3. Step 3: Cross multiply
   2,362.75x = 3,478.88 × 3,478.88
4. Step 4: Simplify right side
   2,362.75x = 12,102,571.27
5. Step 5: Solve for x
   x = 12,102,571.27/2,362.75
6. Step 6: Final answer
   x = 5,122.24