Finding the Third Proportional to 2,256.94 and 3,487.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.94 : 3,487.78 = 3,487.78 : x
2. Step 2: Convert to fraction form
   2,256.94/3,487.78 = 3,487.78/x
3. Step 3: Cross multiply
   2,256.94x = 3,487.78 × 3,487.78
4. Step 4: Simplify right side
   2,256.94x = 12,164,618.05
5. Step 5: Solve for x
   x = 12,164,618.05/2,256.94
6. Step 6: Final answer
   x = 5,389.88