Finding the Third Proportional to 31.75 and 45.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31.75 : 45.88 = 45.88 : x
2. Step 2: Convert to fraction form
   31.75/45.88 = 45.88/x
3. Step 3: Cross multiply
   31.75x = 45.88 × 45.88
4. Step 4: Simplify right side
   31.75x = 2,104.52
5. Step 5: Solve for x
   x = 2,104.52/31.75
6. Step 6: Final answer
   x = 66.28