Finding the Third Proportional to 4,024.50 and 5,882.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,024.50 : 5,882.25 = 5,882.25 : x
2. Step 2: Convert to fraction form
   4,024.50/5,882.25 = 5,882.25/x
3. Step 3: Cross multiply
   4,024.50x = 5,882.25 × 5,882.25
4. Step 4: Simplify right side
   4,024.50x = 34,600,865.06
5. Step 5: Solve for x
   x = 34,600,865.06/4,024.50
6. Step 6: Final answer
   x = 8,597.56