Finding the Third Proportional to 1,159.69 and 2,562.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.69 : 2,562.38 = 2,562.38 : x
2. Step 2: Convert to fraction form
   1,159.69/2,562.38 = 2,562.38/x
3. Step 3: Cross multiply
   1,159.69x = 2,562.38 × 2,562.38
4. Step 4: Simplify right side
   1,159.69x = 6,565,765.64
5. Step 5: Solve for x
   x = 6,565,765.64/1,159.69
6. Step 6: Final answer
   x = 5,661.67