Finding the Third Proportional to 11,464.50 and 23,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,464.50 : 23,665.50 = 23,665.50 : x
2. Step 2: Convert to fraction form
   11,464.50/23,665.50 = 23,665.50/x
3. Step 3: Cross multiply
   11,464.50x = 23,665.50 × 23,665.50
4. Step 4: Simplify right side
   11,464.50x = 560,055,890.25
5. Step 5: Solve for x
   x = 560,055,890.25/11,464.50
6. Step 6: Final answer
   x = 48,851.31