Finding the Third Proportional to 2,848.50 and 3,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,848.50 : 3,564.75 = 3,564.75 : x
2. Step 2: Convert to fraction form
   2,848.50/3,564.75 = 3,564.75/x
3. Step 3: Cross multiply
   2,848.50x = 3,564.75 × 3,564.75
4. Step 4: Simplify right side
   2,848.50x = 12,707,442.56
5. Step 5: Solve for x
   x = 12,707,442.56/2,848.50
6. Step 6: Final answer
   x = 4,461.10