Finding the Third Proportional to 14.63 and 31.78

Step by Step Solution

1. Step 1: Write the proportion equation
   14.63 : 31.78 = 31.78 : x
2. Step 2: Convert to fraction form
   14.63/31.78 = 31.78/x
3. Step 3: Cross multiply
   14.63x = 31.78 × 31.78
4. Step 4: Simplify right side
   14.63x = 1,010.05
5. Step 5: Solve for x
   x = 1,010.05/14.63
6. Step 6: Final answer
   x = 69.06