Finding the Third Proportional to 9,123 and 13,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123 : 13,183.50 = 13,183.50 : x
2. Step 2: Convert to fraction form
   9,123/13,183.50 = 13,183.50/x
3. Step 3: Cross multiply
   9,123x = 13,183.50 × 13,183.50
4. Step 4: Simplify right side
   9,123x = 173,804,672.25
5. Step 5: Solve for x
   x = 173,804,672.25/9,123
6. Step 6: Final answer
   x = 19,051.26