Finding the Third Proportional to 10,233 and 18,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233 : 18,454.50 = 18,454.50 : x
2. Step 2: Convert to fraction form
   10,233/18,454.50 = 18,454.50/x
3. Step 3: Cross multiply
   10,233x = 18,454.50 × 18,454.50
4. Step 4: Simplify right side
   10,233x = 340,568,570.25
5. Step 5: Solve for x
   x = 340,568,570.25/10,233
6. Step 6: Final answer
   x = 33,281.40