Finding the Third Proportional to 11,538 and 24,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 24,844.50 = 24,844.50 : x
2. Step 2: Convert to fraction form
   11,538/24,844.50 = 24,844.50/x
3. Step 3: Cross multiply
   11,538x = 24,844.50 × 24,844.50
4. Step 4: Simplify right side
   11,538x = 617,249,180.25
5. Step 5: Solve for x
   x = 617,249,180.25/11,538
6. Step 6: Final answer
   x = 53,497.07