Finding the Third Proportional to 2,824.50 and 5,841

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.50 : 5,841 = 5,841 : x
2. Step 2: Convert to fraction form
   2,824.50/5,841 = 5,841/x
3. Step 3: Cross multiply
   2,824.50x = 5,841 × 5,841
4. Step 4: Simplify right side
   2,824.50x = 34,117,281
5. Step 5: Solve for x
   x = 34,117,281/2,824.50
6. Step 6: Final answer
   x = 12,079.05