Finding the Third Proportional to 12,597.75 and 19,198.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,597.75 : 19,198.69 = 19,198.69 : x
2. Step 2: Convert to fraction form
   12,597.75/19,198.69 = 19,198.69/x
3. Step 3: Cross multiply
   12,597.75x = 19,198.69 × 19,198.69
4. Step 4: Simplify right side
   12,597.75x = 368,589,601.72
5. Step 5: Solve for x
   x = 368,589,601.72/12,597.75
6. Step 6: Final answer
   x = 29,258.37