Finding the Third Proportional to 51.47 and 121.69

Step by Step Solution

1. Step 1: Write the proportion equation
   51.47 : 121.69 = 121.69 : x
2. Step 2: Convert to fraction form
   51.47/121.69 = 121.69/x
3. Step 3: Cross multiply
   51.47x = 121.69 × 121.69
4. Step 4: Simplify right side
   51.47x = 14,807.85
5. Step 5: Solve for x
   x = 14,807.85/51.47
6. Step 6: Final answer
   x = 287.71