Finding the Third Proportional to 4,768.88 and 10,506.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,768.88 : 10,506.38 = 10,506.38 : x
2. Step 2: Convert to fraction form
   4,768.88/10,506.38 = 10,506.38/x
3. Step 3: Cross multiply
   4,768.88x = 10,506.38 × 10,506.38
4. Step 4: Simplify right side
   4,768.88x = 110,383,915.64
5. Step 5: Solve for x
   x = 110,383,915.64/4,768.88
6. Step 6: Final answer
   x = 23,146.74