Finding the Third Proportional to 42.56 and 48.84

Step by Step Solution

1. Step 1: Write the proportion equation
   42.56 : 48.84 = 48.84 : x
2. Step 2: Convert to fraction form
   42.56/48.84 = 48.84/x
3. Step 3: Cross multiply
   42.56x = 48.84 × 48.84
4. Step 4: Simplify right side
   42.56x = 2,385.71
5. Step 5: Solve for x
   x = 2,385.71/42.56
6. Step 6: Final answer
   x = 56.05