Finding the Third Proportional to 34.42 and 75.45

Step by Step Solution

1. Step 1: Write the proportion equation
   34.42 : 75.45 = 75.45 : x
2. Step 2: Convert to fraction form
   34.42/75.45 = 75.45/x
3. Step 3: Cross multiply
   34.42x = 75.45 × 75.45
4. Step 4: Simplify right side
   34.42x = 5,693.17
5. Step 5: Solve for x
   x = 5,693.17/34.42
6. Step 6: Final answer
   x = 165.39