Finding the Third Proportional to 8,006 and 17,470

Step by Step Solution

1. Step 1: Write the proportion equation
   8,006 : 17,470 = 17,470 : x
2. Step 2: Convert to fraction form
   8,006/17,470 = 17,470/x
3. Step 3: Cross multiply
   8,006x = 17,470 × 17,470
4. Step 4: Simplify right side
   8,006x = 305,200,900
5. Step 5: Solve for x
   x = 305,200,900/8,006
6. Step 6: Final answer
   x = 38,121.52