Finding the Third Proportional to 13,738 and 17,367

Step by Step Solution

1. Step 1: Write the proportion equation
   13,738 : 17,367 = 17,367 : x
2. Step 2: Convert to fraction form
   13,738/17,367 = 17,367/x
3. Step 3: Cross multiply
   13,738x = 17,367 × 17,367
4. Step 4: Simplify right side
   13,738x = 301,612,689
5. Step 5: Solve for x
   x = 301,612,689/13,738
6. Step 6: Final answer
   x = 21,954.63