Finding the Third Proportional to 23,538 and 50,484

Step by Step Solution

1. Step 1: Write the proportion equation
   23,538 : 50,484 = 50,484 : x
2. Step 2: Convert to fraction form
   23,538/50,484 = 50,484/x
3. Step 3: Cross multiply
   23,538x = 50,484 × 50,484
4. Step 4: Simplify right side
   23,538x = 2,548,634,256
5. Step 5: Solve for x
   x = 2,548,634,256/23,538
6. Step 6: Final answer
   x = 108,277.43