Finding the Third Proportional to 13,826.25 and 20,775.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.25 : 20,775.38 = 20,775.38 : x
2. Step 2: Convert to fraction form
   13,826.25/20,775.38 = 20,775.38/x
3. Step 3: Cross multiply
   13,826.25x = 20,775.38 × 20,775.38
4. Step 4: Simplify right side
   13,826.25x = 431,616,206.39
5. Step 5: Solve for x
   x = 431,616,206.39/13,826.25
6. Step 6: Final answer
   x = 31,217.16