Finding the Third Proportional to 11,503 and 23,978

Step by Step Solution

1. Step 1: Write the proportion equation
   11,503 : 23,978 = 23,978 : x
2. Step 2: Convert to fraction form
   11,503/23,978 = 23,978/x
3. Step 3: Cross multiply
   11,503x = 23,978 × 23,978
4. Step 4: Simplify right side
   11,503x = 574,944,484
5. Step 5: Solve for x
   x = 574,944,484/11,503
6. Step 6: Final answer
   x = 49,982.13