Finding the Third Proportional to 14,256 and 18,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,256 : 18,919.50 = 18,919.50 : x
2. Step 2: Convert to fraction form
   14,256/18,919.50 = 18,919.50/x
3. Step 3: Cross multiply
   14,256x = 18,919.50 × 18,919.50
4. Step 4: Simplify right side
   14,256x = 357,947,480.25
5. Step 5: Solve for x
   x = 357,947,480.25/14,256
6. Step 6: Final answer
   x = 25,108.55