Finding the Third Proportional to 5,029.75 and 5,485.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,029.75 : 5,485.25 = 5,485.25 : x
2. Step 2: Convert to fraction form
   5,029.75/5,485.25 = 5,485.25/x
3. Step 3: Cross multiply
   5,029.75x = 5,485.25 × 5,485.25
4. Step 4: Simplify right side
   5,029.75x = 30,087,967.56
5. Step 5: Solve for x
   x = 30,087,967.56/5,029.75
6. Step 6: Final answer
   x = 5,982.00