Finding the Third Proportional to 11,365 and 23,648

Step by Step Solution

1. Step 1: Write the proportion equation
   11,365 : 23,648 = 23,648 : x
2. Step 2: Convert to fraction form
   11,365/23,648 = 23,648/x
3. Step 3: Cross multiply
   11,365x = 23,648 × 23,648
4. Step 4: Simplify right side
   11,365x = 559,227,904
5. Step 5: Solve for x
   x = 559,227,904/11,365
6. Step 6: Final answer
   x = 49,206.15