Finding the Third Proportional to 27.84 and 55.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27.84 : 55.69 = 55.69 : x
2. Step 2: Convert to fraction form
   27.84/55.69 = 55.69/x
3. Step 3: Cross multiply
   27.84x = 55.69 × 55.69
4. Step 4: Simplify right side
   27.84x = 3,101.10
5. Step 5: Solve for x
   x = 3,101.10/27.84
6. Step 6: Final answer
   x = 111.38