Finding the Third Proportional to 10,174.78 and 22,321.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.78 : 22,321.41 = 22,321.41 : x
2. Step 2: Convert to fraction form
   10,174.78/22,321.41 = 22,321.41/x
3. Step 3: Cross multiply
   10,174.78x = 22,321.41 × 22,321.41
4. Step 4: Simplify right side
   10,174.78x = 498,245,176.98
5. Step 5: Solve for x
   x = 498,245,176.98/10,174.78
6. Step 6: Final answer
   x = 48,968.64