Finding the Third Proportional to 30.75 and 55.69

Step by Step Solution

1. Step 1: Write the proportion equation
   30.75 : 55.69 = 55.69 : x
2. Step 2: Convert to fraction form
   30.75/55.69 = 55.69/x
3. Step 3: Cross multiply
   30.75x = 55.69 × 55.69
4. Step 4: Simplify right side
   30.75x = 3,101.10
5. Step 5: Solve for x
   x = 3,101.10/30.75
6. Step 6: Final answer
   x = 100.85