Finding the Third Proportional to 5,608 and 13,738

Step by Step Solution

1. Step 1: Write the proportion equation
   5,608 : 13,738 = 13,738 : x
2. Step 2: Convert to fraction form
   5,608/13,738 = 13,738/x
3. Step 3: Cross multiply
   5,608x = 13,738 × 13,738
4. Step 4: Simplify right side
   5,608x = 188,732,644
5. Step 5: Solve for x
   x = 188,732,644/5,608
6. Step 6: Final answer
   x = 33,654.18