Finding the Third Proportional to 19,081.50 and 38,682

Step by Step Solution

1. Step 1: Write the proportion equation
   19,081.50 : 38,682 = 38,682 : x
2. Step 2: Convert to fraction form
   19,081.50/38,682 = 38,682/x
3. Step 3: Cross multiply
   19,081.50x = 38,682 × 38,682
4. Step 4: Simplify right side
   19,081.50x = 1,496,297,124
5. Step 5: Solve for x
   x = 1,496,297,124/19,081.50
6. Step 6: Final answer
   x = 78,416.12