Finding the Third Proportional to 28.78 and 50.69

Step by Step Solution

1. Step 1: Write the proportion equation
   28.78 : 50.69 = 50.69 : x
2. Step 2: Convert to fraction form
   28.78/50.69 = 50.69/x
3. Step 3: Cross multiply
   28.78x = 50.69 × 50.69
4. Step 4: Simplify right side
   28.78x = 2,569.22
5. Step 5: Solve for x
   x = 2,569.22/28.78
6. Step 6: Final answer
   x = 89.27