Finding the Third Proportional to 3,682 and 7,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682 : 7,795.50 = 7,795.50 : x
2. Step 2: Convert to fraction form
   3,682/7,795.50 = 7,795.50/x
3. Step 3: Cross multiply
   3,682x = 7,795.50 × 7,795.50
4. Step 4: Simplify right side
   3,682x = 60,769,820.25
5. Step 5: Solve for x
   x = 60,769,820.25/3,682
6. Step 6: Final answer
   x = 16,504.57