Finding the Third Proportional to 2,287.69 and 5,402.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.69 : 5,402.81 = 5,402.81 : x
2. Step 2: Convert to fraction form
   2,287.69/5,402.81 = 5,402.81/x
3. Step 3: Cross multiply
   2,287.69x = 5,402.81 × 5,402.81
4. Step 4: Simplify right side
   2,287.69x = 29,190,382.91
5. Step 5: Solve for x
   x = 29,190,382.91/2,287.69
6. Step 6: Final answer
   x = 12,759.78