Finding the Third Proportional to 5,896.78 and 12,667.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.78 : 12,667.09 = 12,667.09 : x
2. Step 2: Convert to fraction form
   5,896.78/12,667.09 = 12,667.09/x
3. Step 3: Cross multiply
   5,896.78x = 12,667.09 × 12,667.09
4. Step 4: Simplify right side
   5,896.78x = 160,455,090.89
5. Step 5: Solve for x
   x = 160,455,090.89/5,896.78
6. Step 6: Final answer
   x = 27,210.61