Finding the Third Proportional to 55.50 and 76.69

Step by Step Solution

1. Step 1: Write the proportion equation
   55.50 : 76.69 = 76.69 : x
2. Step 2: Convert to fraction form
   55.50/76.69 = 76.69/x
3. Step 3: Cross multiply
   55.50x = 76.69 × 76.69
4. Step 4: Simplify right side
   55.50x = 5,880.97
5. Step 5: Solve for x
   x = 5,880.97/55.50
6. Step 6: Final answer
   x = 105.96