Finding the Third Proportional to 4,456 and 5,904

Step by Step Solution

1. Step 1: Write the proportion equation
   4,456 : 5,904 = 5,904 : x
2. Step 2: Convert to fraction form
   4,456/5,904 = 5,904/x
3. Step 3: Cross multiply
   4,456x = 5,904 × 5,904
4. Step 4: Simplify right side
   4,456x = 34,857,216
5. Step 5: Solve for x
   x = 34,857,216/4,456
6. Step 6: Final answer
   x = 7,822.54