Finding the Third Proportional to 7,509 and 16,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,509 : 16,429.50 = 16,429.50 : x
2. Step 2: Convert to fraction form
   7,509/16,429.50 = 16,429.50/x
3. Step 3: Cross multiply
   7,509x = 16,429.50 × 16,429.50
4. Step 4: Simplify right side
   7,509x = 269,928,470.25
5. Step 5: Solve for x
   x = 269,928,470.25/7,509
6. Step 6: Final answer
   x = 35,947.33