Finding the Third Proportional to 3,780 and 5,494

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780 : 5,494 = 5,494 : x
2. Step 2: Convert to fraction form
   3,780/5,494 = 5,494/x
3. Step 3: Cross multiply
   3,780x = 5,494 × 5,494
4. Step 4: Simplify right side
   3,780x = 30,184,036
5. Step 5: Solve for x
   x = 30,184,036/3,780
6. Step 6: Final answer
   x = 7,985.19