Finding the Third Proportional to 25,778.75 and 54,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,778.75 : 54,608.50 = 54,608.50 : x
2. Step 2: Convert to fraction form
   25,778.75/54,608.50 = 54,608.50/x
3. Step 3: Cross multiply
   25,778.75x = 54,608.50 × 54,608.50
4. Step 4: Simplify right side
   25,778.75x = 2,982,088,272.25
5. Step 5: Solve for x
   x = 2,982,088,272.25/25,778.75
6. Step 6: Final answer
   x = 115,680.10