Finding the Third Proportional to 42.75 and 70.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 70.75 = 70.75 : x
2. Step 2: Convert to fraction form
   42.75/70.75 = 70.75/x
3. Step 3: Cross multiply
   42.75x = 70.75 × 70.75
4. Step 4: Simplify right side
   42.75x = 5,005.56
5. Step 5: Solve for x
   x = 5,005.56/42.75
6. Step 6: Final answer
   x = 117.09