Finding the Third Proportional to 51.89 and 74.46

Step by Step Solution

1. Step 1: Write the proportion equation
   51.89 : 74.46 = 74.46 : x
2. Step 2: Convert to fraction form
   51.89/74.46 = 74.46/x
3. Step 3: Cross multiply
   51.89x = 74.46 × 74.46
4. Step 4: Simplify right side
   51.89x = 5,544.43
5. Step 5: Solve for x
   x = 5,544.43/51.89
6. Step 6: Final answer
   x = 106.85