Finding the Third Proportional to 2,519.63 and 5,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,519.63 : 5,506.50 = 5,506.50 : x
2. Step 2: Convert to fraction form
   2,519.63/5,506.50 = 5,506.50/x
3. Step 3: Cross multiply
   2,519.63x = 5,506.50 × 5,506.50
4. Step 4: Simplify right side
   2,519.63x = 30,321,542.25
5. Step 5: Solve for x
   x = 30,321,542.25/2,519.63
6. Step 6: Final answer
   x = 12,034.15