Finding the Third Proportional to 51.42 and 75.61

Step by Step Solution

1. Step 1: Write the proportion equation
   51.42 : 75.61 = 75.61 : x
2. Step 2: Convert to fraction form
   51.42/75.61 = 75.61/x
3. Step 3: Cross multiply
   51.42x = 75.61 × 75.61
4. Step 4: Simplify right side
   51.42x = 5,716.78
5. Step 5: Solve for x
   x = 5,716.78/51.42
6. Step 6: Final answer
   x = 111.17