Finding the Third Proportional to 2,760 and 3,704

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760 : 3,704 = 3,704 : x
2. Step 2: Convert to fraction form
   2,760/3,704 = 3,704/x
3. Step 3: Cross multiply
   2,760x = 3,704 × 3,704
4. Step 4: Simplify right side
   2,760x = 13,719,616
5. Step 5: Solve for x
   x = 13,719,616/2,760
6. Step 6: Final answer
   x = 4,970.88