Finding the Third Proportional to 14,096 and 18,540

Step by Step Solution

1. Step 1: Write the proportion equation
   14,096 : 18,540 = 18,540 : x
2. Step 2: Convert to fraction form
   14,096/18,540 = 18,540/x
3. Step 3: Cross multiply
   14,096x = 18,540 × 18,540
4. Step 4: Simplify right side
   14,096x = 343,731,600
5. Step 5: Solve for x
   x = 343,731,600/14,096
6. Step 6: Final answer
   x = 24,385.05