Finding the Third Proportional to 2,564.50 and 3,841

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 3,841 = 3,841 : x
2. Step 2: Convert to fraction form
   2,564.50/3,841 = 3,841/x
3. Step 3: Cross multiply
   2,564.50x = 3,841 × 3,841
4. Step 4: Simplify right side
   2,564.50x = 14,753,281
5. Step 5: Solve for x
   x = 14,753,281/2,564.50
6. Step 6: Final answer
   x = 5,752.89