Finding the Third Proportional to 55.53 and 76.89

Step by Step Solution

1. Step 1: Write the proportion equation
   55.53 : 76.89 = 76.89 : x
2. Step 2: Convert to fraction form
   55.53/76.89 = 76.89/x
3. Step 3: Cross multiply
   55.53x = 76.89 × 76.89
4. Step 4: Simplify right side
   55.53x = 5,911.57
5. Step 5: Solve for x
   x = 5,911.57/55.53
6. Step 6: Final answer
   x = 106.46