Finding the Third Proportional to 46.69 and 69.28

Step by Step Solution

1. Step 1: Write the proportion equation
   46.69 : 69.28 = 69.28 : x
2. Step 2: Convert to fraction form
   46.69/69.28 = 69.28/x
3. Step 3: Cross multiply
   46.69x = 69.28 × 69.28
4. Step 4: Simplify right side
   46.69x = 4,799.89
5. Step 5: Solve for x
   x = 4,799.89/46.69
6. Step 6: Final answer
   x = 102.81