Finding the Third Proportional to 2,745.38 and 5,354.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.38 : 5,354.63 = 5,354.63 : x
2. Step 2: Convert to fraction form
   2,745.38/5,354.63 = 5,354.63/x
3. Step 3: Cross multiply
   2,745.38x = 5,354.63 × 5,354.63
4. Step 4: Simplify right side
   2,745.38x = 28,672,008.89
5. Step 5: Solve for x
   x = 28,672,008.89/2,745.38
6. Step 6: Final answer
   x = 10,443.75