Finding the Third Proportional to 1,086.69 and 2,369.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.69 : 2,369.13 = 2,369.13 : x
2. Step 2: Convert to fraction form
   1,086.69/2,369.13 = 2,369.13/x
3. Step 3: Cross multiply
   1,086.69x = 2,369.13 × 2,369.13
4. Step 4: Simplify right side
   1,086.69x = 5,612,753.27
5. Step 5: Solve for x
   x = 5,612,753.27/1,086.69
6. Step 6: Final answer
   x = 5,165.01