Finding the Third Proportional to 1,135.48 and 2,408.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,135.48 : 2,408.59 = 2,408.59 : x
2. Step 2: Convert to fraction form
   1,135.48/2,408.59 = 2,408.59/x
3. Step 3: Cross multiply
   1,135.48x = 2,408.59 × 2,408.59
4. Step 4: Simplify right side
   1,135.48x = 5,801,305.04
5. Step 5: Solve for x
   x = 5,801,305.04/1,135.48
6. Step 6: Final answer
   x = 5,109.14