Finding the Third Proportional to 51.73 and 78.52

Step by Step Solution

1. Step 1: Write the proportion equation
   51.73 : 78.52 = 78.52 : x
2. Step 2: Convert to fraction form
   51.73/78.52 = 78.52/x
3. Step 3: Cross multiply
   51.73x = 78.52 × 78.52
4. Step 4: Simplify right side
   51.73x = 6,165.62
5. Step 5: Solve for x
   x = 6,165.62/51.73
6. Step 6: Final answer
   x = 119.18