Finding the Third Proportional to 38.75 and 55.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38.75 : 55.56 = 55.56 : x
2. Step 2: Convert to fraction form
   38.75/55.56 = 55.56/x
3. Step 3: Cross multiply
   38.75x = 55.56 × 55.56
4. Step 4: Simplify right side
   38.75x = 3,087.19
5. Step 5: Solve for x
   x = 3,087.19/38.75
6. Step 6: Final answer
   x = 79.67