Finding the Third Proportional to 75.46 and 111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   75.46 : 111.06 = 111.06 : x
2. Step 2: Convert to fraction form
   75.46/111.06 = 111.06/x
3. Step 3: Cross multiply
   75.46x = 111.06 × 111.06
4. Step 4: Simplify right side
   75.46x = 12,334.01
5. Step 5: Solve for x
   x = 12,334.01/75.46
6. Step 6: Final answer
   x = 163.44