Finding the Third Proportional to 19.69 and 32.06

Step by Step Solution

1. Step 1: Write the proportion equation
   19.69 : 32.06 = 32.06 : x
2. Step 2: Convert to fraction form
   19.69/32.06 = 32.06/x
3. Step 3: Cross multiply
   19.69x = 32.06 × 32.06
4. Step 4: Simplify right side
   19.69x = 1,028.00
5. Step 5: Solve for x
   x = 1,028.00/19.69
6. Step 6: Final answer
   x = 52.22