Finding the Third Proportional to 8,123 and 12,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,123 : 12,273.50 = 12,273.50 : x
2. Step 2: Convert to fraction form
   8,123/12,273.50 = 12,273.50/x
3. Step 3: Cross multiply
   8,123x = 12,273.50 × 12,273.50
4. Step 4: Simplify right side
   8,123x = 150,638,802.25
5. Step 5: Solve for x
   x = 150,638,802.25/8,123
6. Step 6: Final answer
   x = 18,544.73