Finding the Third Proportional to 31.56 and 46.27

Step by Step Solution

1. Step 1: Write the proportion equation
   31.56 : 46.27 = 46.27 : x
2. Step 2: Convert to fraction form
   31.56/46.27 = 46.27/x
3. Step 3: Cross multiply
   31.56x = 46.27 × 46.27
4. Step 4: Simplify right side
   31.56x = 2,141.32
5. Step 5: Solve for x
   x = 2,141.32/31.56
6. Step 6: Final answer
   x = 67.85