Finding the Third Proportional to 51.38 and 76.31

Step by Step Solution

1. Step 1: Write the proportion equation
   51.38 : 76.31 = 76.31 : x
2. Step 2: Convert to fraction form
   51.38/76.31 = 76.31/x
3. Step 3: Cross multiply
   51.38x = 76.31 × 76.31
4. Step 4: Simplify right side
   51.38x = 5,823.60
5. Step 5: Solve for x
   x = 5,823.60/51.38
6. Step 6: Final answer
   x = 113.35