Finding the Third Proportional to 13,760 and 16,760

Step by Step Solution

1. Step 1: Write the proportion equation
   13,760 : 16,760 = 16,760 : x
2. Step 2: Convert to fraction form
   13,760/16,760 = 16,760/x
3. Step 3: Cross multiply
   13,760x = 16,760 × 16,760
4. Step 4: Simplify right side
   13,760x = 280,897,600
5. Step 5: Solve for x
   x = 280,897,600/13,760
6. Step 6: Final answer
   x = 20,414.07