Finding the Third Proportional to 25.50 and 55.78

Step by Step Solution

1. Step 1: Write the proportion equation
   25.50 : 55.78 = 55.78 : x
2. Step 2: Convert to fraction form
   25.50/55.78 = 55.78/x
3. Step 3: Cross multiply
   25.50x = 55.78 × 55.78
4. Step 4: Simplify right side
   25.50x = 3,111.55
5. Step 5: Solve for x
   x = 3,111.55/25.50
6. Step 6: Final answer
   x = 122.02