Finding the Third Proportional to 2,863.50 and 6,111

Step by Step Solution

1. Step 1: Write the proportion equation
   2,863.50 : 6,111 = 6,111 : x
2. Step 2: Convert to fraction form
   2,863.50/6,111 = 6,111/x
3. Step 3: Cross multiply
   2,863.50x = 6,111 × 6,111
4. Step 4: Simplify right side
   2,863.50x = 37,344,321
5. Step 5: Solve for x
   x = 37,344,321/2,863.50
6. Step 6: Final answer
   x = 13,041.50