Finding the Third Proportional to 20,786.34 and 31,698.47

Step by Step Solution

1. Step 1: Write the proportion equation
   20,786.34 : 31,698.47 = 31,698.47 : x
2. Step 2: Convert to fraction form
   20,786.34/31,698.47 = 31,698.47/x
3. Step 3: Cross multiply
   20,786.34x = 31,698.47 × 31,698.47
4. Step 4: Simplify right side
   20,786.34x = 1,004,792,921.09
5. Step 5: Solve for x
   x = 1,004,792,921.09/20,786.34
6. Step 6: Final answer
   x = 48,339.09