Finding the Third Proportional to 2,564.47 and 3,667.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.47 : 3,667.15 = 3,667.15 : x
2. Step 2: Convert to fraction form
   2,564.47/3,667.15 = 3,667.15/x
3. Step 3: Cross multiply
   2,564.47x = 3,667.15 × 3,667.15
4. Step 4: Simplify right side
   2,564.47x = 13,447,977.66
5. Step 5: Solve for x
   x = 13,447,977.66/2,564.47
6. Step 6: Final answer
   x = 5,243.95