Finding the Third Proportional to 19,743 and 40,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,743 : 40,408.50 = 40,408.50 : x
2. Step 2: Convert to fraction form
   19,743/40,408.50 = 40,408.50/x
3. Step 3: Cross multiply
   19,743x = 40,408.50 × 40,408.50
4. Step 4: Simplify right side
   19,743x = 1,632,846,872.25
5. Step 5: Solve for x
   x = 1,632,846,872.25/19,743
6. Step 6: Final answer
   x = 82,705.10