Finding the Third Proportional to 2,319.89 and 5,024.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,319.89 : 5,024.53 = 5,024.53 : x
2. Step 2: Convert to fraction form
   2,319.89/5,024.53 = 5,024.53/x
3. Step 3: Cross multiply
   2,319.89x = 5,024.53 × 5,024.53
4. Step 4: Simplify right side
   2,319.89x = 25,245,914.28
5. Step 5: Solve for x
   x = 25,245,914.28/2,319.89
6. Step 6: Final answer
   x = 10,882.37