Finding the Third Proportional to 13,542.82 and 17,974.41

Step by Step Solution

1. Step 1: Write the proportion equation
   13,542.82 : 17,974.41 = 17,974.41 : x
2. Step 2: Convert to fraction form
   13,542.82/17,974.41 = 17,974.41/x
3. Step 3: Cross multiply
   13,542.82x = 17,974.41 × 17,974.41
4. Step 4: Simplify right side
   13,542.82x = 323,079,280.04
5. Step 5: Solve for x
   x = 323,079,280.04/13,542.82
6. Step 6: Final answer
   x = 23,856.13