Finding the Third Proportional to 7,540 and 17,470

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540 : 17,470 = 17,470 : x
2. Step 2: Convert to fraction form
   7,540/17,470 = 17,470/x
3. Step 3: Cross multiply
   7,540x = 17,470 × 17,470
4. Step 4: Simplify right side
   7,540x = 305,200,900
5. Step 5: Solve for x
   x = 305,200,900/7,540
6. Step 6: Final answer
   x = 40,477.57