Finding the Third Proportional to 31.32 and 67.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31.32 : 67.63 = 67.63 : x
2. Step 2: Convert to fraction form
   31.32/67.63 = 67.63/x
3. Step 3: Cross multiply
   31.32x = 67.63 × 67.63
4. Step 4: Simplify right side
   31.32x = 4,574.07
5. Step 5: Solve for x
   x = 4,574.07/31.32
6. Step 6: Final answer
   x = 146.02