Finding the Third Proportional to 12,629.25 and 19,608.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,629.25 : 19,608.75 = 19,608.75 : x
2. Step 2: Convert to fraction form
   12,629.25/19,608.75 = 19,608.75/x
3. Step 3: Cross multiply
   12,629.25x = 19,608.75 × 19,608.75
4. Step 4: Simplify right side
   12,629.25x = 384,503,076.56
5. Step 5: Solve for x
   x = 384,503,076.56/12,629.25
6. Step 6: Final answer
   x = 30,445.44