Finding the Third Proportional to 4,556.25 and 5,983.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,556.25 : 5,983.88 = 5,983.88 : x
2. Step 2: Convert to fraction form
   4,556.25/5,983.88 = 5,983.88/x
3. Step 3: Cross multiply
   4,556.25x = 5,983.88 × 5,983.88
4. Step 4: Simplify right side
   4,556.25x = 35,806,760.02
5. Step 5: Solve for x
   x = 35,806,760.02/4,556.25
6. Step 6: Final answer
   x = 7,858.82