Finding the Third Proportional to 20.81 and 32.06

Step by Step Solution

1. Step 1: Write the proportion equation
   20.81 : 32.06 = 32.06 : x
2. Step 2: Convert to fraction form
   20.81/32.06 = 32.06/x
3. Step 3: Cross multiply
   20.81x = 32.06 × 32.06
4. Step 4: Simplify right side
   20.81x = 1,028.00
5. Step 5: Solve for x
   x = 1,028.00/20.81
6. Step 6: Final answer
   x = 49.39