Finding the Third Proportional to 12,180 and 18,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,180 : 18,403.50 = 18,403.50 : x
2. Step 2: Convert to fraction form
   12,180/18,403.50 = 18,403.50/x
3. Step 3: Cross multiply
   12,180x = 18,403.50 × 18,403.50
4. Step 4: Simplify right side
   12,180x = 338,688,812.25
5. Step 5: Solve for x
   x = 338,688,812.25/12,180
6. Step 6: Final answer
   x = 27,806.96