Finding the Third Proportional to 27.47 and 32.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27.47 : 32.25 = 32.25 : x
2. Step 2: Convert to fraction form
   27.47/32.25 = 32.25/x
3. Step 3: Cross multiply
   27.47x = 32.25 × 32.25
4. Step 4: Simplify right side
   27.47x = 1,040.06
5. Step 5: Solve for x
   x = 1,040.06/27.47
6. Step 6: Final answer
   x = 37.86