Finding the Third Proportional to 14.63 and 31.82

Step by Step Solution

1. Step 1: Write the proportion equation
   14.63 : 31.82 = 31.82 : x
2. Step 2: Convert to fraction form
   14.63/31.82 = 31.82/x
3. Step 3: Cross multiply
   14.63x = 31.82 × 31.82
4. Step 4: Simplify right side
   14.63x = 1,012.69
5. Step 5: Solve for x
   x = 1,012.69/14.63
6. Step 6: Final answer
   x = 69.23