Finding the Third Proportional to 5,629.50 and 12,944.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.50 : 12,944.25 = 12,944.25 : x
2. Step 2: Convert to fraction form
   5,629.50/12,944.25 = 12,944.25/x
3. Step 3: Cross multiply
   5,629.50x = 12,944.25 × 12,944.25
4. Step 4: Simplify right side
   5,629.50x = 167,553,608.06
5. Step 5: Solve for x
   x = 167,553,608.06/5,629.50
6. Step 6: Final answer
   x = 29,763.50