Finding the Third Proportional to 31.50 and 70.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 70.88 = 70.88 : x
2. Step 2: Convert to fraction form
   31.50/70.88 = 70.88/x
3. Step 3: Cross multiply
   31.50x = 70.88 × 70.88
4. Step 4: Simplify right side
   31.50x = 5,023.27
5. Step 5: Solve for x
   x = 5,023.27/31.50
6. Step 6: Final answer
   x = 159.47