Finding the Third Proportional to 42.38 and 65.34

Step by Step Solution

1. Step 1: Write the proportion equation
   42.38 : 65.34 = 65.34 : x
2. Step 2: Convert to fraction form
   42.38/65.34 = 65.34/x
3. Step 3: Cross multiply
   42.38x = 65.34 × 65.34
4. Step 4: Simplify right side
   42.38x = 4,269.81
5. Step 5: Solve for x
   x = 4,269.81/42.38
6. Step 6: Final answer
   x = 100.76