Finding the Third Proportional to 27.94 and 42.84

Step by Step Solution

1. Step 1: Write the proportion equation
   27.94 : 42.84 = 42.84 : x
2. Step 2: Convert to fraction form
   27.94/42.84 = 42.84/x
3. Step 3: Cross multiply
   27.94x = 42.84 × 42.84
4. Step 4: Simplify right side
   27.94x = 1,835.59
5. Step 5: Solve for x
   x = 1,835.59/27.94
6. Step 6: Final answer
   x = 65.70