Finding the Third Proportional to 1,563.05 and 2,419.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,563.05 : 2,419.45 = 2,419.45 : x
2. Step 2: Convert to fraction form
   1,563.05/2,419.45 = 2,419.45/x
3. Step 3: Cross multiply
   1,563.05x = 2,419.45 × 2,419.45
4. Step 4: Simplify right side
   1,563.05x = 5,853,753.42
5. Step 5: Solve for x
   x = 5,853,753.42/1,563.05
6. Step 6: Final answer
   x = 3,745.09