Finding the Third Proportional to 1,162.69 and 2,856.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.69 : 2,856.09 = 2,856.09 : x
2. Step 2: Convert to fraction form
   1,162.69/2,856.09 = 2,856.09/x
3. Step 3: Cross multiply
   1,162.69x = 2,856.09 × 2,856.09
4. Step 4: Simplify right side
   1,162.69x = 8,157,271.51
5. Step 5: Solve for x
   x = 8,157,271.51/1,162.69
6. Step 6: Final answer
   x = 7,015.88