Finding the Third Proportional to 5,823.14 and 12,681.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823.14 : 12,681.56 = 12,681.56 : x
2. Step 2: Convert to fraction form
   5,823.14/12,681.56 = 12,681.56/x
3. Step 3: Cross multiply
   5,823.14x = 12,681.56 × 12,681.56
4. Step 4: Simplify right side
   5,823.14x = 160,822,027.44
5. Step 5: Solve for x
   x = 160,822,027.44/5,823.14
6. Step 6: Final answer
   x = 27,617.75