Finding the Third Proportional to 1,238.75 and 2,681.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.75 : 2,681.69 = 2,681.69 : x
2. Step 2: Convert to fraction form
   1,238.75/2,681.69 = 2,681.69/x
3. Step 3: Cross multiply
   1,238.75x = 2,681.69 × 2,681.69
4. Step 4: Simplify right side
   1,238.75x = 7,191,447.85
5. Step 5: Solve for x
   x = 7,191,447.85/1,238.75
6. Step 6: Final answer
   x = 5,805.41