Finding the Third Proportional to 27.50 and 31.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27.50 : 31.25 = 31.25 : x
2. Step 2: Convert to fraction form
   27.50/31.25 = 31.25/x
3. Step 3: Cross multiply
   27.50x = 31.25 × 31.25
4. Step 4: Simplify right side
   27.50x = 976.56
5. Step 5: Solve for x
   x = 976.56/27.50
6. Step 6: Final answer
   x = 35.51