Finding the Third Proportional to 5,287.50 and 11,667.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,287.50 : 11,667.38 = 11,667.38 : x
2. Step 2: Convert to fraction form
   5,287.50/11,667.38 = 11,667.38/x
3. Step 3: Cross multiply
   5,287.50x = 11,667.38 × 11,667.38
4. Step 4: Simplify right side
   5,287.50x = 136,127,639.39
5. Step 5: Solve for x
   x = 136,127,639.39/5,287.50
6. Step 6: Final answer
   x = 25,745.18