Finding the Third Proportional to 19,737 and 41,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,737 : 41,578.50 = 41,578.50 : x
2. Step 2: Convert to fraction form
   19,737/41,578.50 = 41,578.50/x
3. Step 3: Cross multiply
   19,737x = 41,578.50 × 41,578.50
4. Step 4: Simplify right side
   19,737x = 1,728,771,662.25
5. Step 5: Solve for x
   x = 1,728,771,662.25/19,737
6. Step 6: Final answer
   x = 87,590.40