Finding the Third Proportional to 71.75 and 104.56

Step by Step Solution

1. Step 1: Write the proportion equation
   71.75 : 104.56 = 104.56 : x
2. Step 2: Convert to fraction form
   71.75/104.56 = 104.56/x
3. Step 3: Cross multiply
   71.75x = 104.56 × 104.56
4. Step 4: Simplify right side
   71.75x = 10,933.32
5. Step 5: Solve for x
   x = 10,933.32/71.75
6. Step 6: Final answer
   x = 152.38