Finding the Third Proportional to 13,648 and 21,760

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648 : 21,760 = 21,760 : x
2. Step 2: Convert to fraction form
   13,648/21,760 = 21,760/x
3. Step 3: Cross multiply
   13,648x = 21,760 × 21,760
4. Step 4: Simplify right side
   13,648x = 473,497,600
5. Step 5: Solve for x
   x = 473,497,600/13,648
6. Step 6: Final answer
   x = 34,693.55