Finding the Third Proportional to 2,564.50 and 3,924

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 3,924 = 3,924 : x
2. Step 2: Convert to fraction form
   2,564.50/3,924 = 3,924/x
3. Step 3: Cross multiply
   2,564.50x = 3,924 × 3,924
4. Step 4: Simplify right side
   2,564.50x = 15,397,776
5. Step 5: Solve for x
   x = 15,397,776/2,564.50
6. Step 6: Final answer
   x = 6,004.20