Finding the Third Proportional to 12,578.81 and 26,178.56

Step by Step Solution

1. Step 1: Write the proportion equation
   12,578.81 : 26,178.56 = 26,178.56 : x
2. Step 2: Convert to fraction form
   12,578.81/26,178.56 = 26,178.56/x
3. Step 3: Cross multiply
   12,578.81x = 26,178.56 × 26,178.56
4. Step 4: Simplify right side
   12,578.81x = 685,317,134.57
5. Step 5: Solve for x
   x = 685,317,134.57/12,578.81
6. Step 6: Final answer
   x = 54,481.86