Finding the Third Proportional to 20,054.25 and 31,782.38

Step by Step Solution

1. Step 1: Write the proportion equation
   20,054.25 : 31,782.38 = 31,782.38 : x
2. Step 2: Convert to fraction form
   20,054.25/31,782.38 = 31,782.38/x
3. Step 3: Cross multiply
   20,054.25x = 31,782.38 × 31,782.38
4. Step 4: Simplify right side
   20,054.25x = 1,010,119,360.64
5. Step 5: Solve for x
   x = 1,010,119,360.64/20,054.25
6. Step 6: Final answer
   x = 50,369.34