Finding the Third Proportional to 2,554.50 and 3,968.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554.50 : 3,968.25 = 3,968.25 : x
2. Step 2: Convert to fraction form
   2,554.50/3,968.25 = 3,968.25/x
3. Step 3: Cross multiply
   2,554.50x = 3,968.25 × 3,968.25
4. Step 4: Simplify right side
   2,554.50x = 15,747,008.06
5. Step 5: Solve for x
   x = 15,747,008.06/2,554.50
6. Step 6: Final answer
   x = 6,164.42