Finding the Third Proportional to 27.63 and 42.40

Step by Step Solution

1. Step 1: Write the proportion equation
   27.63 : 42.40 = 42.40 : x
2. Step 2: Convert to fraction form
   27.63/42.40 = 42.40/x
3. Step 3: Cross multiply
   27.63x = 42.40 × 42.40
4. Step 4: Simplify right side
   27.63x = 1,797.63
5. Step 5: Solve for x
   x = 1,797.63/27.63
6. Step 6: Final answer
   x = 65.05