Finding the Third Proportional to 12,189.75 and 18,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,189.75 : 18,205.50 = 18,205.50 : x
2. Step 2: Convert to fraction form
   12,189.75/18,205.50 = 18,205.50/x
3. Step 3: Cross multiply
   12,189.75x = 18,205.50 × 18,205.50
4. Step 4: Simplify right side
   12,189.75x = 331,440,230.25
5. Step 5: Solve for x
   x = 331,440,230.25/12,189.75
6. Step 6: Final answer
   x = 27,190.08