Finding the Third Proportional to 42.54 and 64.27

Step by Step Solution

1. Step 1: Write the proportion equation
   42.54 : 64.27 = 64.27 : x
2. Step 2: Convert to fraction form
   42.54/64.27 = 64.27/x
3. Step 3: Cross multiply
   42.54x = 64.27 × 64.27
4. Step 4: Simplify right side
   42.54x = 4,130.07
5. Step 5: Solve for x
   x = 4,130.07/42.54
6. Step 6: Final answer
   x = 97.09