Finding the Third Proportional to 12,264.75 and 19,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,264.75 : 19,578.75 = 19,578.75 : x
2. Step 2: Convert to fraction form
   12,264.75/19,578.75 = 19,578.75/x
3. Step 3: Cross multiply
   12,264.75x = 19,578.75 × 19,578.75
4. Step 4: Simplify right side
   12,264.75x = 383,327,451.56
5. Step 5: Solve for x
   x = 383,327,451.56/12,264.75
6. Step 6: Final answer
   x = 31,254.40