Finding the Third Proportional to 534.80 and 827.72

Step by Step Solution

1. Step 1: Write the proportion equation
   534.80 : 827.72 = 827.72 : x
2. Step 2: Convert to fraction form
   534.80/827.72 = 827.72/x
3. Step 3: Cross multiply
   534.80x = 827.72 × 827.72
4. Step 4: Simplify right side
   534.80x = 685,118.33
5. Step 5: Solve for x
   x = 685,118.33/534.80
6. Step 6: Final answer
   x = 1,281.08