Finding the Third Proportional to 31.75 and 70.72

Step by Step Solution

1. Step 1: Write the proportion equation
   31.75 : 70.72 = 70.72 : x
2. Step 2: Convert to fraction form
   31.75/70.72 = 70.72/x
3. Step 3: Cross multiply
   31.75x = 70.72 × 70.72
4. Step 4: Simplify right side
   31.75x = 5,001.14
5. Step 5: Solve for x
   x = 5,001.14/31.75
6. Step 6: Final answer
   x = 157.52