Finding the Third Proportional to 3,822.75 and 5,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822.75 : 5,809.50 = 5,809.50 : x
2. Step 2: Convert to fraction form
   3,822.75/5,809.50 = 5,809.50/x
3. Step 3: Cross multiply
   3,822.75x = 5,809.50 × 5,809.50
4. Step 4: Simplify right side
   3,822.75x = 33,750,290.25
5. Step 5: Solve for x
   x = 33,750,290.25/3,822.75
6. Step 6: Final answer
   x = 8,828.80