Finding the Third Proportional to 19,794 and 41,223

Step by Step Solution

1. Step 1: Write the proportion equation
   19,794 : 41,223 = 41,223 : x
2. Step 2: Convert to fraction form
   19,794/41,223 = 41,223/x
3. Step 3: Cross multiply
   19,794x = 41,223 × 41,223
4. Step 4: Simplify right side
   19,794x = 1,699,335,729
5. Step 5: Solve for x
   x = 1,699,335,729/19,794
6. Step 6: Final answer
   x = 85,851.05