Finding the Third Proportional to 2,504.50 and 5,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504.50 : 5,514.25 = 5,514.25 : x
2. Step 2: Convert to fraction form
   2,504.50/5,514.25 = 5,514.25/x
3. Step 3: Cross multiply
   2,504.50x = 5,514.25 × 5,514.25
4. Step 4: Simplify right side
   2,504.50x = 30,406,953.06
5. Step 5: Solve for x
   x = 30,406,953.06/2,504.50
6. Step 6: Final answer
   x = 12,140.93