Finding the Third Proportional to 8,140.50 and 17,839.41

Step by Step Solution

1. Step 1: Write the proportion equation
   8,140.50 : 17,839.41 = 17,839.41 : x
2. Step 2: Convert to fraction form
   8,140.50/17,839.41 = 17,839.41/x
3. Step 3: Cross multiply
   8,140.50x = 17,839.41 × 17,839.41
4. Step 4: Simplify right side
   8,140.50x = 318,244,415.35
5. Step 5: Solve for x
   x = 318,244,415.35/8,140.50
6. Step 6: Final answer
   x = 39,093.96