Finding the Third Proportional to 33.75 and 70.56

Step by Step Solution

1. Step 1: Write the proportion equation
   33.75 : 70.56 = 70.56 : x
2. Step 2: Convert to fraction form
   33.75/70.56 = 70.56/x
3. Step 3: Cross multiply
   33.75x = 70.56 × 70.56
4. Step 4: Simplify right side
   33.75x = 4,979.07
5. Step 5: Solve for x
   x = 4,979.07/33.75
6. Step 6: Final answer
   x = 147.53