Finding the Third Proportional to 25,578.75 and 54,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,578.75 : 54,199.50 = 54,199.50 : x
2. Step 2: Convert to fraction form
   25,578.75/54,199.50 = 54,199.50/x
3. Step 3: Cross multiply
   25,578.75x = 54,199.50 × 54,199.50
4. Step 4: Simplify right side
   25,578.75x = 2,937,585,800.25
5. Step 5: Solve for x
   x = 2,937,585,800.25/25,578.75
6. Step 6: Final answer
   x = 114,844.78