Finding the Third Proportional to 2,756 and 3,702

Step by Step Solution

1. Step 1: Write the proportion equation
   2,756 : 3,702 = 3,702 : x
2. Step 2: Convert to fraction form
   2,756/3,702 = 3,702/x
3. Step 3: Cross multiply
   2,756x = 3,702 × 3,702
4. Step 4: Simplify right side
   2,756x = 13,704,804
5. Step 5: Solve for x
   x = 13,704,804/2,756
6. Step 6: Final answer
   x = 4,972.72