Finding the Third Proportional to 12,727.75 and 18,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,727.75 : 18,514.25 = 18,514.25 : x
2. Step 2: Convert to fraction form
   12,727.75/18,514.25 = 18,514.25/x
3. Step 3: Cross multiply
   12,727.75x = 18,514.25 × 18,514.25
4. Step 4: Simplify right side
   12,727.75x = 342,777,453.06
5. Step 5: Solve for x
   x = 342,777,453.06/12,727.75
6. Step 6: Final answer
   x = 26,931.50