Finding the Third Proportional to 4,185.25 and 6,484.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.25 : 6,484.25 = 6,484.25 : x
2. Step 2: Convert to fraction form
   4,185.25/6,484.25 = 6,484.25/x
3. Step 3: Cross multiply
   4,185.25x = 6,484.25 × 6,484.25
4. Step 4: Simplify right side
   4,185.25x = 42,045,498.06
5. Step 5: Solve for x
   x = 42,045,498.06/4,185.25
6. Step 6: Final answer
   x = 10,046.11