Finding the Third Proportional to 11,814.75 and 24,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814.75 : 24,169.50 = 24,169.50 : x
2. Step 2: Convert to fraction form
   11,814.75/24,169.50 = 24,169.50/x
3. Step 3: Cross multiply
   11,814.75x = 24,169.50 × 24,169.50
4. Step 4: Simplify right side
   11,814.75x = 584,164,730.25
5. Step 5: Solve for x
   x = 584,164,730.25/11,814.75
6. Step 6: Final answer
   x = 49,443.68