Finding the Third Proportional to 11,538 and 24,450.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 24,450.75 = 24,450.75 : x
2. Step 2: Convert to fraction form
   11,538/24,450.75 = 24,450.75/x
3. Step 3: Cross multiply
   11,538x = 24,450.75 × 24,450.75
4. Step 4: Simplify right side
   11,538x = 597,839,175.56
5. Step 5: Solve for x
   x = 597,839,175.56/11,538
6. Step 6: Final answer
   x = 51,814.80