Finding the Third Proportional to 51.33 and 78.33

Step by Step Solution

1. Step 1: Write the proportion equation
   51.33 : 78.33 = 78.33 : x
2. Step 2: Convert to fraction form
   51.33/78.33 = 78.33/x
3. Step 3: Cross multiply
   51.33x = 78.33 × 78.33
4. Step 4: Simplify right side
   51.33x = 6,135.30
5. Step 5: Solve for x
   x = 6,135.30/51.33
6. Step 6: Final answer
   x = 119.53