Finding the Third Proportional to 20,814.47 and 31,739.77

Step by Step Solution

1. Step 1: Write the proportion equation
   20,814.47 : 31,739.77 = 31,739.77 : x
2. Step 2: Convert to fraction form
   20,814.47/31,739.77 = 31,739.77/x
3. Step 3: Cross multiply
   20,814.47x = 31,739.77 × 31,739.77
4. Step 4: Simplify right side
   20,814.47x = 1,007,412,721.93
5. Step 5: Solve for x
   x = 1,007,412,721.93/20,814.47
6. Step 6: Final answer
   x = 48,399.64