Finding the Third Proportional to 13,727.25 and 18,777.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,727.25 : 18,777.38 = 18,777.38 : x
2. Step 2: Convert to fraction form
   13,727.25/18,777.38 = 18,777.38/x
3. Step 3: Cross multiply
   13,727.25x = 18,777.38 × 18,777.38
4. Step 4: Simplify right side
   13,727.25x = 352,589,811.89
5. Step 5: Solve for x
   x = 352,589,811.89/13,727.25
6. Step 6: Final answer
   x = 25,685.39