Finding the Third Proportional to 11,967 and 24,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,967 : 24,514.50 = 24,514.50 : x
2. Step 2: Convert to fraction form
   11,967/24,514.50 = 24,514.50/x
3. Step 3: Cross multiply
   11,967x = 24,514.50 × 24,514.50
4. Step 4: Simplify right side
   11,967x = 600,960,710.25
5. Step 5: Solve for x
   x = 600,960,710.25/11,967
6. Step 6: Final answer
   x = 50,218.16