Finding the Third Proportional to 5,648 and 13,600

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 13,600 = 13,600 : x
2. Step 2: Convert to fraction form
   5,648/13,600 = 13,600/x
3. Step 3: Cross multiply
   5,648x = 13,600 × 13,600
4. Step 4: Simplify right side
   5,648x = 184,960,000
5. Step 5: Solve for x
   x = 184,960,000/5,648
6. Step 6: Final answer
   x = 32,747.88