Finding the Third Proportional to 820.69 and 937.69

Step by Step Solution

1. Step 1: Write the proportion equation
   820.69 : 937.69 = 937.69 : x
2. Step 2: Convert to fraction form
   820.69/937.69 = 937.69/x
3. Step 3: Cross multiply
   820.69x = 937.69 × 937.69
4. Step 4: Simplify right side
   820.69x = 879,257.85
5. Step 5: Solve for x
   x = 879,257.85/820.69
6. Step 6: Final answer
   x = 1,071.37