Finding the Third Proportional to 12,828.38 and 20,791.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,828.38 : 20,791.69 = 20,791.69 : x
2. Step 2: Convert to fraction form
   12,828.38/20,791.69 = 20,791.69/x
3. Step 3: Cross multiply
   12,828.38x = 20,791.69 × 20,791.69
4. Step 4: Simplify right side
   12,828.38x = 432,294,269.10
5. Step 5: Solve for x
   x = 432,294,269.10/12,828.38
6. Step 6: Final answer
   x = 33,698.29