Finding the Third Proportional to 10,680.61 and 16,180.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680.61 : 16,180.38 = 16,180.38 : x
2. Step 2: Convert to fraction form
   10,680.61/16,180.38 = 16,180.38/x
3. Step 3: Cross multiply
   10,680.61x = 16,180.38 × 16,180.38
4. Step 4: Simplify right side
   10,680.61x = 261,804,787.96
5. Step 5: Solve for x
   x = 261,804,787.96/10,680.61
6. Step 6: Final answer
   x = 24,512.16