Finding the Third Proportional to 820.13 and 1,162.69

Step by Step Solution

1. Step 1: Write the proportion equation
   820.13 : 1,162.69 = 1,162.69 : x
2. Step 2: Convert to fraction form
   820.13/1,162.69 = 1,162.69/x
3. Step 3: Cross multiply
   820.13x = 1,162.69 × 1,162.69
4. Step 4: Simplify right side
   820.13x = 1,351,842.22
5. Step 5: Solve for x
   x = 1,351,842.22/820.13
6. Step 6: Final answer
   x = 1,648.34