Finding the Third Proportional to 10,540 and 18,840

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 18,840 = 18,840 : x
2. Step 2: Convert to fraction form
   10,540/18,840 = 18,840/x
3. Step 3: Cross multiply
   10,540x = 18,840 × 18,840
4. Step 4: Simplify right side
   10,540x = 354,945,600
5. Step 5: Solve for x
   x = 354,945,600/10,540
6. Step 6: Final answer
   x = 33,676.05