Finding the Third Proportional to 27.50 and 40.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27.50 : 40.25 = 40.25 : x
2. Step 2: Convert to fraction form
   27.50/40.25 = 40.25/x
3. Step 3: Cross multiply
   27.50x = 40.25 × 40.25
4. Step 4: Simplify right side
   27.50x = 1,620.06
5. Step 5: Solve for x
   x = 1,620.06/27.50
6. Step 6: Final answer
   x = 58.91