Finding the Third Proportional to 4,634.44 and 10,270.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,634.44 : 10,270.69 = 10,270.69 : x
2. Step 2: Convert to fraction form
   4,634.44/10,270.69 = 10,270.69/x
3. Step 3: Cross multiply
   4,634.44x = 10,270.69 × 10,270.69
4. Step 4: Simplify right side
   4,634.44x = 105,487,021.72
5. Step 5: Solve for x
   x = 105,487,021.72/4,634.44
6. Step 6: Final answer
   x = 22,761.56