Finding the Third Proportional to 41,689.69 and 91,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,689.69 : 91,408.50 = 91,408.50 : x
2. Step 2: Convert to fraction form
   41,689.69/91,408.50 = 91,408.50/x
3. Step 3: Cross multiply
   41,689.69x = 91,408.50 × 91,408.50
4. Step 4: Simplify right side
   41,689.69x = 8,355,513,872.25
5. Step 5: Solve for x
   x = 8,355,513,872.25/41,689.69
6. Step 6: Final answer
   x = 200,421.60