Finding the Third Proportional to 2,600 and 3,760

Step by Step Solution

1. Step 1: Write the proportion equation
   2,600 : 3,760 = 3,760 : x
2. Step 2: Convert to fraction form
   2,600/3,760 = 3,760/x
3. Step 3: Cross multiply
   2,600x = 3,760 × 3,760
4. Step 4: Simplify right side
   2,600x = 14,137,600
5. Step 5: Solve for x
   x = 14,137,600/2,600
6. Step 6: Final answer
   x = 5,437.54