Finding the Third Proportional to 3,009 and 7,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,009 : 7,153.50 = 7,153.50 : x
2. Step 2: Convert to fraction form
   3,009/7,153.50 = 7,153.50/x
3. Step 3: Cross multiply
   3,009x = 7,153.50 × 7,153.50
4. Step 4: Simplify right side
   3,009x = 51,172,562.25
5. Step 5: Solve for x
   x = 51,172,562.25/3,009
6. Step 6: Final answer
   x = 17,006.50