Finding the Third Proportional to 27.50 and 42.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27.50 : 42.25 = 42.25 : x
2. Step 2: Convert to fraction form
   27.50/42.25 = 42.25/x
3. Step 3: Cross multiply
   27.50x = 42.25 × 42.25
4. Step 4: Simplify right side
   27.50x = 1,785.06
5. Step 5: Solve for x
   x = 1,785.06/27.50
6. Step 6: Final answer
   x = 64.91