Finding the Third Proportional to 820.13 and 892.27

Step by Step Solution

1. Step 1: Write the proportion equation
   820.13 : 892.27 = 892.27 : x
2. Step 2: Convert to fraction form
   820.13/892.27 = 892.27/x
3. Step 3: Cross multiply
   820.13x = 892.27 × 892.27
4. Step 4: Simplify right side
   820.13x = 796,137.95
5. Step 5: Solve for x
   x = 796,137.95/820.13
6. Step 6: Final answer
   x = 970.75