Finding the Third Proportional to 13,727.25 and 20,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,727.25 : 20,585.25 = 20,585.25 : x
2. Step 2: Convert to fraction form
   13,727.25/20,585.25 = 20,585.25/x
3. Step 3: Cross multiply
   13,727.25x = 20,585.25 × 20,585.25
4. Step 4: Simplify right side
   13,727.25x = 423,752,517.56
5. Step 5: Solve for x
   x = 423,752,517.56/13,727.25
6. Step 6: Final answer
   x = 30,869.44