Finding the Third Proportional to 31.41 and 46.27

Step by Step Solution

1. Step 1: Write the proportion equation
   31.41 : 46.27 = 46.27 : x
2. Step 2: Convert to fraction form
   31.41/46.27 = 46.27/x
3. Step 3: Cross multiply
   31.41x = 46.27 × 46.27
4. Step 4: Simplify right side
   31.41x = 2,140.51
5. Step 5: Solve for x
   x = 2,140.51/31.41
6. Step 6: Final answer
   x = 68.16