Finding the Third Proportional to 75.23 and 111.52

Step by Step Solution

1. Step 1: Write the proportion equation
   75.23 : 111.52 = 111.52 : x
2. Step 2: Convert to fraction form
   75.23/111.52 = 111.52/x
3. Step 3: Cross multiply
   75.23x = 111.52 × 111.52
4. Step 4: Simplify right side
   75.23x = 12,435.73
5. Step 5: Solve for x
   x = 12,435.73/75.23
6. Step 6: Final answer
   x = 165.29