Finding the Third Proportional to 11,740 and 24,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,740 : 24,019.75 = 24,019.75 : x
2. Step 2: Convert to fraction form
   11,740/24,019.75 = 24,019.75/x
3. Step 3: Cross multiply
   11,740x = 24,019.75 × 24,019.75
4. Step 4: Simplify right side
   11,740x = 576,948,390.06
5. Step 5: Solve for x
   x = 576,948,390.06/11,740
6. Step 6: Final answer
   x = 49,143.82