Finding the Third Proportional to 5,736 and 13,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,736 : 13,249.50 = 13,249.50 : x
2. Step 2: Convert to fraction form
   5,736/13,249.50 = 13,249.50/x
3. Step 3: Cross multiply
   5,736x = 13,249.50 × 13,249.50
4. Step 4: Simplify right side
   5,736x = 175,549,250.25
5. Step 5: Solve for x
   x = 175,549,250.25/5,736
6. Step 6: Final answer
   x = 30,604.82