Finding the Third Proportional to 20,120 and 41,774

Step by Step Solution

1. Step 1: Write the proportion equation
   20,120 : 41,774 = 41,774 : x
2. Step 2: Convert to fraction form
   20,120/41,774 = 41,774/x
3. Step 3: Cross multiply
   20,120x = 41,774 × 41,774
4. Step 4: Simplify right side
   20,120x = 1,745,067,076
5. Step 5: Solve for x
   x = 1,745,067,076/20,120
6. Step 6: Final answer
   x = 86,732.96