Finding the Third Proportional to 2,983.50 and 7,224.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,983.50 : 7,224.75 = 7,224.75 : x
2. Step 2: Convert to fraction form
   2,983.50/7,224.75 = 7,224.75/x
3. Step 3: Cross multiply
   2,983.50x = 7,224.75 × 7,224.75
4. Step 4: Simplify right side
   2,983.50x = 52,197,012.56
5. Step 5: Solve for x
   x = 52,197,012.56/2,983.50
6. Step 6: Final answer
   x = 17,495.23