Finding the Third Proportional to 5,193 and 12,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,193 : 12,046.50 = 12,046.50 : x
2. Step 2: Convert to fraction form
   5,193/12,046.50 = 12,046.50/x
3. Step 3: Cross multiply
   5,193x = 12,046.50 × 12,046.50
4. Step 4: Simplify right side
   5,193x = 145,118,162.25
5. Step 5: Solve for x
   x = 145,118,162.25/5,193
6. Step 6: Final answer
   x = 27,944.96