Finding the Third Proportional to 541.69 and 766.76

Step by Step Solution

1. Step 1: Write the proportion equation
   541.69 : 766.76 = 766.76 : x
2. Step 2: Convert to fraction form
   541.69/766.76 = 766.76/x
3. Step 3: Cross multiply
   541.69x = 766.76 × 766.76
4. Step 4: Simplify right side
   541.69x = 587,917.54
5. Step 5: Solve for x
   x = 587,917.54/541.69
6. Step 6: Final answer
   x = 1,085.34