Finding the Third Proportional to 808.69 and 1,151.06

Step by Step Solution

1. Step 1: Write the proportion equation
   808.69 : 1,151.06 = 1,151.06 : x
2. Step 2: Convert to fraction form
   808.69/1,151.06 = 1,151.06/x
3. Step 3: Cross multiply
   808.69x = 1,151.06 × 1,151.06
4. Step 4: Simplify right side
   808.69x = 1,324,944.88
5. Step 5: Solve for x
   x = 1,324,944.88/808.69
6. Step 6: Final answer
   x = 1,638.39