Finding the Third Proportional to 5,629.50 and 12,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.50 : 12,553.50 = 12,553.50 : x
2. Step 2: Convert to fraction form
   5,629.50/12,553.50 = 12,553.50/x
3. Step 3: Cross multiply
   5,629.50x = 12,553.50 × 12,553.50
4. Step 4: Simplify right side
   5,629.50x = 157,590,362.25
5. Step 5: Solve for x
   x = 157,590,362.25/5,629.50
6. Step 6: Final answer
   x = 27,993.67