Finding the Third Proportional to 1,162.69 and 2,530.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.69 : 2,530.69 = 2,530.69 : x
2. Step 2: Convert to fraction form
   1,162.69/2,530.69 = 2,530.69/x
3. Step 3: Cross multiply
   1,162.69x = 2,530.69 × 2,530.69
4. Step 4: Simplify right side
   1,162.69x = 6,404,379.22
5. Step 5: Solve for x
   x = 6,404,379.22/1,162.69
6. Step 6: Final answer
   x = 5,508.25