Finding the Third Proportional to 57.69 and 84.27

Step by Step Solution

1. Step 1: Write the proportion equation
   57.69 : 84.27 = 84.27 : x
2. Step 2: Convert to fraction form
   57.69/84.27 = 84.27/x
3. Step 3: Cross multiply
   57.69x = 84.27 × 84.27
4. Step 4: Simplify right side
   57.69x = 7,101.35
5. Step 5: Solve for x
   x = 7,101.35/57.69
6. Step 6: Final answer
   x = 123.09