Finding the Third Proportional to 14.63 and 31.69

Step by Step Solution

1. Step 1: Write the proportion equation
   14.63 : 31.69 = 31.69 : x
2. Step 2: Convert to fraction form
   14.63/31.69 = 31.69/x
3. Step 3: Cross multiply
   14.63x = 31.69 × 31.69
4. Step 4: Simplify right side
   14.63x = 1,004.10
5. Step 5: Solve for x
   x = 1,004.10/14.63
6. Step 6: Final answer
   x = 68.66