Finding the Third Proportional to 10,004.50 and 18,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.50 : 18,105.50 = 18,105.50 : x
2. Step 2: Convert to fraction form
   10,004.50/18,105.50 = 18,105.50/x
3. Step 3: Cross multiply
   10,004.50x = 18,105.50 × 18,105.50
4. Step 4: Simplify right side
   10,004.50x = 327,809,130.25
5. Step 5: Solve for x
   x = 327,809,130.25/10,004.50
6. Step 6: Final answer
   x = 32,766.17