Finding the Third Proportional to 3,164.25 and 5,083.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,164.25 : 5,083.88 = 5,083.88 : x
2. Step 2: Convert to fraction form
   3,164.25/5,083.88 = 5,083.88/x
3. Step 3: Cross multiply
   3,164.25x = 5,083.88 × 5,083.88
4. Step 4: Simplify right side
   3,164.25x = 25,845,785.02
5. Step 5: Solve for x
   x = 25,845,785.02/3,164.25
6. Step 6: Final answer
   x = 8,168.06