Finding the Third Proportional to 28.69 and 65.39

Step by Step Solution

1. Step 1: Write the proportion equation
   28.69 : 65.39 = 65.39 : x
2. Step 2: Convert to fraction form
   28.69/65.39 = 65.39/x
3. Step 3: Cross multiply
   28.69x = 65.39 × 65.39
4. Step 4: Simplify right side
   28.69x = 4,275.93
5. Step 5: Solve for x
   x = 4,275.93/28.69
6. Step 6: Final answer
   x = 149.05