Finding the Third Proportional to 2,901.50 and 7,013.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,901.50 : 7,013.25 = 7,013.25 : x
2. Step 2: Convert to fraction form
   2,901.50/7,013.25 = 7,013.25/x
3. Step 3: Cross multiply
   2,901.50x = 7,013.25 × 7,013.25
4. Step 4: Simplify right side
   2,901.50x = 49,185,675.56
5. Step 5: Solve for x
   x = 49,185,675.56/2,901.50
6. Step 6: Final answer
   x = 16,951.81