Finding the Third Proportional to 14.06 and 32.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14.06 : 32.63 = 32.63 : x
2. Step 2: Convert to fraction form
   14.06/32.63 = 32.63/x
3. Step 3: Cross multiply
   14.06x = 32.63 × 32.63
4. Step 4: Simplify right side
   14.06x = 1,064.39
5. Step 5: Solve for x
   x = 1,064.39/14.06
6. Step 6: Final answer
   x = 75.69