Finding the Third Proportional to 2,256.38 and 5,435.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.38 : 5,435.44 = 5,435.44 : x
2. Step 2: Convert to fraction form
   2,256.38/5,435.44 = 5,435.44/x
3. Step 3: Cross multiply
   2,256.38x = 5,435.44 × 5,435.44
4. Step 4: Simplify right side
   2,256.38x = 29,543,980.82
5. Step 5: Solve for x
   x = 29,543,980.82/2,256.38
6. Step 6: Final answer
   x = 13,093.56