Finding the Third Proportional to 7,738 and 17,014

Step by Step Solution

1. Step 1: Write the proportion equation
   7,738 : 17,014 = 17,014 : x
2. Step 2: Convert to fraction form
   7,738/17,014 = 17,014/x
3. Step 3: Cross multiply
   7,738x = 17,014 × 17,014
4. Step 4: Simplify right side
   7,738x = 289,476,196
5. Step 5: Solve for x
   x = 289,476,196/7,738
6. Step 6: Final answer
   x = 37,409.69