Finding the Third Proportional to 20,493 and 41,738

Step by Step Solution

1. Step 1: Write the proportion equation
   20,493 : 41,738 = 41,738 : x
2. Step 2: Convert to fraction form
   20,493/41,738 = 41,738/x
3. Step 3: Cross multiply
   20,493x = 41,738 × 41,738
4. Step 4: Simplify right side
   20,493x = 1,742,060,644
5. Step 5: Solve for x
   x = 1,742,060,644/20,493
6. Step 6: Final answer
   x = 85,007.59