Finding the Third Proportional to 25.98 and 56.78

Step by Step Solution

1. Step 1: Write the proportion equation
   25.98 : 56.78 = 56.78 : x
2. Step 2: Convert to fraction form
   25.98/56.78 = 56.78/x
3. Step 3: Cross multiply
   25.98x = 56.78 × 56.78
4. Step 4: Simplify right side
   25.98x = 3,223.42
5. Step 5: Solve for x
   x = 3,223.42/25.98
6. Step 6: Final answer
   x = 124.05