Finding the Third Proportional to 2,013 and 2,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,013 : 2,704.50 = 2,704.50 : x
2. Step 2: Convert to fraction form
   2,013/2,704.50 = 2,704.50/x
3. Step 3: Cross multiply
   2,013x = 2,704.50 × 2,704.50
4. Step 4: Simplify right side
   2,013x = 7,314,320.25
5. Step 5: Solve for x
   x = 7,314,320.25/2,013
6. Step 6: Final answer
   x = 3,633.54