Finding the Third Proportional to 51.26 and 76.89

Step by Step Solution

1. Step 1: Write the proportion equation
   51.26 : 76.89 = 76.89 : x
2. Step 2: Convert to fraction form
   51.26/76.89 = 76.89/x
3. Step 3: Cross multiply
   51.26x = 76.89 × 76.89
4. Step 4: Simplify right side
   51.26x = 5,911.57
5. Step 5: Solve for x
   x = 5,911.57/51.26
6. Step 6: Final answer
   x = 115.33