Finding the Third Proportional to 19,839 and 41,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,839 : 41,623.50 = 41,623.50 : x
2. Step 2: Convert to fraction form
   19,839/41,623.50 = 41,623.50/x
3. Step 3: Cross multiply
   19,839x = 41,623.50 × 41,623.50
4. Step 4: Simplify right side
   19,839x = 1,732,515,752.25
5. Step 5: Solve for x
   x = 1,732,515,752.25/19,839
6. Step 6: Final answer
   x = 87,328.78