Finding the Third Proportional to 33.56 and 70.31

Step by Step Solution

1. Step 1: Write the proportion equation
   33.56 : 70.31 = 70.31 : x
2. Step 2: Convert to fraction form
   33.56/70.31 = 70.31/x
3. Step 3: Cross multiply
   33.56x = 70.31 × 70.31
4. Step 4: Simplify right side
   33.56x = 4,943.85
5. Step 5: Solve for x
   x = 4,943.85/33.56
6. Step 6: Final answer
   x = 147.30