Finding the Third Proportional to 20.34 and 42.59

Step by Step Solution

1. Step 1: Write the proportion equation
   20.34 : 42.59 = 42.59 : x
2. Step 2: Convert to fraction form
   20.34/42.59 = 42.59/x
3. Step 3: Cross multiply
   20.34x = 42.59 × 42.59
4. Step 4: Simplify right side
   20.34x = 1,814.23
5. Step 5: Solve for x
   x = 1,814.23/20.34
6. Step 6: Final answer
   x = 89.18