Finding the Third Proportional to 1,162.69 and 2,382.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.69 : 2,382.19 = 2,382.19 : x
2. Step 2: Convert to fraction form
   1,162.69/2,382.19 = 2,382.19/x
3. Step 3: Cross multiply
   1,162.69x = 2,382.19 × 2,382.19
4. Step 4: Simplify right side
   1,162.69x = 5,674,817.29
5. Step 5: Solve for x
   x = 5,674,817.29/1,162.69
6. Step 6: Final answer
   x = 4,880.78