Finding the Third Proportional to 31.94 and 46.91

Step by Step Solution

1. Step 1: Write the proportion equation
   31.94 : 46.91 = 46.91 : x
2. Step 2: Convert to fraction form
   31.94/46.91 = 46.91/x
3. Step 3: Cross multiply
   31.94x = 46.91 × 46.91
4. Step 4: Simplify right side
   31.94x = 2,200.20
5. Step 5: Solve for x
   x = 2,200.20/31.94
6. Step 6: Final answer
   x = 68.89