Finding the Third Proportional to 2,896.50 and 7,001.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,896.50 : 7,001.25 = 7,001.25 : x
2. Step 2: Convert to fraction form
   2,896.50/7,001.25 = 7,001.25/x
3. Step 3: Cross multiply
   2,896.50x = 7,001.25 × 7,001.25
4. Step 4: Simplify right side
   2,896.50x = 49,017,501.56
5. Step 5: Solve for x
   x = 49,017,501.56/2,896.50
6. Step 6: Final answer
   x = 16,923.01