Finding the Third Proportional to 11,464 and 23,980

Step by Step Solution

1. Step 1: Write the proportion equation
   11,464 : 23,980 = 23,980 : x
2. Step 2: Convert to fraction form
   11,464/23,980 = 23,980/x
3. Step 3: Cross multiply
   11,464x = 23,980 × 23,980
4. Step 4: Simplify right side
   11,464x = 575,040,400
5. Step 5: Solve for x
   x = 575,040,400/11,464
6. Step 6: Final answer
   x = 50,160.54