Finding the Third Proportional to 12,269.25 and 19,458.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,269.25 : 19,458.75 = 19,458.75 : x
2. Step 2: Convert to fraction form
   12,269.25/19,458.75 = 19,458.75/x
3. Step 3: Cross multiply
   12,269.25x = 19,458.75 × 19,458.75
4. Step 4: Simplify right side
   12,269.25x = 378,642,951.56
5. Step 5: Solve for x
   x = 378,642,951.56/12,269.25
6. Step 6: Final answer
   x = 30,861.13