Finding the Third Proportional to 27.75 and 67.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 67.50 = 67.50 : x
2. Step 2: Convert to fraction form
   27.75/67.50 = 67.50/x
3. Step 3: Cross multiply
   27.75x = 67.50 × 67.50
4. Step 4: Simplify right side
   27.75x = 4,556.25
5. Step 5: Solve for x
   x = 4,556.25/27.75
6. Step 6: Final answer
   x = 164.19