Finding the Third Proportional to 42.75 and 70.69

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 70.69 = 70.69 : x
2. Step 2: Convert to fraction form
   42.75/70.69 = 70.69/x
3. Step 3: Cross multiply
   42.75x = 70.69 × 70.69
4. Step 4: Simplify right side
   42.75x = 4,996.72
5. Step 5: Solve for x
   x = 4,996.72/42.75
6. Step 6: Final answer
   x = 116.88