Finding the Third Proportional to 13.50 and 20.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 20.06 = 20.06 : x
2. Step 2: Convert to fraction form
   13.50/20.06 = 20.06/x
3. Step 3: Cross multiply
   13.50x = 20.06 × 20.06
4. Step 4: Simplify right side
   13.50x = 402.50
5. Step 5: Solve for x
   x = 402.50/13.50
6. Step 6: Final answer
   x = 29.82