Finding the Third Proportional to 2,530.50 and 5,523.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.50 : 5,523.75 = 5,523.75 : x
2. Step 2: Convert to fraction form
   2,530.50/5,523.75 = 5,523.75/x
3. Step 3: Cross multiply
   2,530.50x = 5,523.75 × 5,523.75
4. Step 4: Simplify right side
   2,530.50x = 30,511,814.06
5. Step 5: Solve for x
   x = 30,511,814.06/2,530.50
6. Step 6: Final answer
   x = 12,057.62