Finding the Third Proportional to 51.98 and 114.42

Step by Step Solution

1. Step 1: Write the proportion equation
   51.98 : 114.42 = 114.42 : x
2. Step 2: Convert to fraction form
   51.98/114.42 = 114.42/x
3. Step 3: Cross multiply
   51.98x = 114.42 × 114.42
4. Step 4: Simplify right side
   51.98x = 13,092.37
5. Step 5: Solve for x
   x = 13,092.37/51.98
6. Step 6: Final answer
   x = 251.85