Finding the Third Proportional to 13,682.25 and 20,537.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,682.25 : 20,537.72 = 20,537.72 : x
2. Step 2: Convert to fraction form
   13,682.25/20,537.72 = 20,537.72/x
3. Step 3: Cross multiply
   13,682.25x = 20,537.72 × 20,537.72
4. Step 4: Simplify right side
   13,682.25x = 421,797,891.45
5. Step 5: Solve for x
   x = 421,797,891.45/13,682.25
6. Step 6: Final answer
   x = 30,828.11