Finding the Third Proportional to 4,678 and 10,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,678 : 10,174.50 = 10,174.50 : x
2. Step 2: Convert to fraction form
   4,678/10,174.50 = 10,174.50/x
3. Step 3: Cross multiply
   4,678x = 10,174.50 × 10,174.50
4. Step 4: Simplify right side
   4,678x = 103,520,450.25
5. Step 5: Solve for x
   x = 103,520,450.25/4,678
6. Step 6: Final answer
   x = 22,129.21