Finding the Third Proportional to 2,359.75 and 4,111

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.75 : 4,111 = 4,111 : x
2. Step 2: Convert to fraction form
   2,359.75/4,111 = 4,111/x
3. Step 3: Cross multiply
   2,359.75x = 4,111 × 4,111
4. Step 4: Simplify right side
   2,359.75x = 16,900,321
5. Step 5: Solve for x
   x = 16,900,321/2,359.75
6. Step 6: Final answer
   x = 7,161.91