Finding the Third Proportional to 27.75 and 46.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 46.69 = 46.69 : x
2. Step 2: Convert to fraction form
   27.75/46.69 = 46.69/x
3. Step 3: Cross multiply
   27.75x = 46.69 × 46.69
4. Step 4: Simplify right side
   27.75x = 2,179.72
5. Step 5: Solve for x
   x = 2,179.72/27.75
6. Step 6: Final answer
   x = 78.55