Finding the Third Proportional to 7,648 and 17,260

Step by Step Solution

1. Step 1: Write the proportion equation
   7,648 : 17,260 = 17,260 : x
2. Step 2: Convert to fraction form
   7,648/17,260 = 17,260/x
3. Step 3: Cross multiply
   7,648x = 17,260 × 17,260
4. Step 4: Simplify right side
   7,648x = 297,907,600
5. Step 5: Solve for x
   x = 297,907,600/7,648
6. Step 6: Final answer
   x = 38,952.35