Finding the Third Proportional to 2,255.63 and 3,420.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,255.63 : 3,420.56 = 3,420.56 : x
2. Step 2: Convert to fraction form
   2,255.63/3,420.56 = 3,420.56/x
3. Step 3: Cross multiply
   2,255.63x = 3,420.56 × 3,420.56
4. Step 4: Simplify right side
   2,255.63x = 11,700,247.82
5. Step 5: Solve for x
   x = 11,700,247.82/2,255.63
6. Step 6: Final answer
   x = 5,187.14