Finding the Third Proportional to 30.94 and 64.31

Step by Step Solution

1. Step 1: Write the proportion equation
   30.94 : 64.31 = 64.31 : x
2. Step 2: Convert to fraction form
   30.94/64.31 = 64.31/x
3. Step 3: Cross multiply
   30.94x = 64.31 × 64.31
4. Step 4: Simplify right side
   30.94x = 4,136.10
5. Step 5: Solve for x
   x = 4,136.10/30.94
6. Step 6: Final answer
   x = 133.69