Finding the Third Proportional to 7,006.50 and 15,013.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,006.50 : 15,013.69 = 15,013.69 : x
2. Step 2: Convert to fraction form
   7,006.50/15,013.69 = 15,013.69/x
3. Step 3: Cross multiply
   7,006.50x = 15,013.69 × 15,013.69
4. Step 4: Simplify right side
   7,006.50x = 225,410,812.35
5. Step 5: Solve for x
   x = 225,410,812.35/7,006.50
6. Step 6: Final answer
   x = 32,171.67