Finding the Third Proportional to 1,170.39 and 2,564.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,170.39 : 2,564.31 = 2,564.31 : x
2. Step 2: Convert to fraction form
   1,170.39/2,564.31 = 2,564.31/x
3. Step 3: Cross multiply
   1,170.39x = 2,564.31 × 2,564.31
4. Step 4: Simplify right side
   1,170.39x = 6,575,708.61
5. Step 5: Solve for x
   x = 6,575,708.61/1,170.39
6. Step 6: Final answer
   x = 5,618.41