Finding the Third Proportional to 2,685.50 and 3,977

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.50 : 3,977 = 3,977 : x
2. Step 2: Convert to fraction form
   2,685.50/3,977 = 3,977/x
3. Step 3: Cross multiply
   2,685.50x = 3,977 × 3,977
4. Step 4: Simplify right side
   2,685.50x = 15,816,529
5. Step 5: Solve for x
   x = 15,816,529/2,685.50
6. Step 6: Final answer
   x = 5,889.60