Finding the Third Proportional to 13,648.50 and 18,785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.50 : 18,785.25 = 18,785.25 : x
2. Step 2: Convert to fraction form
   13,648.50/18,785.25 = 18,785.25/x
3. Step 3: Cross multiply
   13,648.50x = 18,785.25 × 18,785.25
4. Step 4: Simplify right side
   13,648.50x = 352,885,617.56
5. Step 5: Solve for x
   x = 352,885,617.56/13,648.50
6. Step 6: Final answer
   x = 25,855.27