Finding the Third Proportional to 23,664 and 51,504

Step by Step Solution

1. Step 1: Write the proportion equation
   23,664 : 51,504 = 51,504 : x
2. Step 2: Convert to fraction form
   23,664/51,504 = 51,504/x
3. Step 3: Cross multiply
   23,664x = 51,504 × 51,504
4. Step 4: Simplify right side
   23,664x = 2,652,662,016
5. Step 5: Solve for x
   x = 2,652,662,016/23,664
6. Step 6: Final answer
   x = 112,096.94