Finding the Third Proportional to 5,728.50 and 12,180.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,728.50 : 12,180.38 = 12,180.38 : x
2. Step 2: Convert to fraction form
   5,728.50/12,180.38 = 12,180.38/x
3. Step 3: Cross multiply
   5,728.50x = 12,180.38 × 12,180.38
4. Step 4: Simplify right side
   5,728.50x = 148,361,535.14
5. Step 5: Solve for x
   x = 148,361,535.14/5,728.50
6. Step 6: Final answer
   x = 25,898.85