Finding the Third Proportional to 75.56 and 111.25

Step by Step Solution

1. Step 1: Write the proportion equation
   75.56 : 111.25 = 111.25 : x
2. Step 2: Convert to fraction form
   75.56/111.25 = 111.25/x
3. Step 3: Cross multiply
   75.56x = 111.25 × 111.25
4. Step 4: Simplify right side
   75.56x = 12,376.56
5. Step 5: Solve for x
   x = 12,376.56/75.56
6. Step 6: Final answer
   x = 163.79