Finding the Third Proportional to 11,378 and 23,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,378 : 23,664.50 = 23,664.50 : x
2. Step 2: Convert to fraction form
   11,378/23,664.50 = 23,664.50/x
3. Step 3: Cross multiply
   11,378x = 23,664.50 × 23,664.50
4. Step 4: Simplify right side
   11,378x = 560,008,560.25
5. Step 5: Solve for x
   x = 560,008,560.25/11,378
6. Step 6: Final answer
   x = 49,218.54