Finding the Third Proportional to 11,574 and 23,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,574 : 23,968.50 = 23,968.50 : x
2. Step 2: Convert to fraction form
   11,574/23,968.50 = 23,968.50/x
3. Step 3: Cross multiply
   11,574x = 23,968.50 × 23,968.50
4. Step 4: Simplify right side
   11,574x = 574,488,992.25
5. Step 5: Solve for x
   x = 574,488,992.25/11,574
6. Step 6: Final answer
   x = 49,636.17