Finding the Third Proportional to 3,143.81 and 5,835.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,143.81 : 5,835.80 = 5,835.80 : x
2. Step 2: Convert to fraction form
   3,143.81/5,835.80 = 5,835.80/x
3. Step 3: Cross multiply
   3,143.81x = 5,835.80 × 5,835.80
4. Step 4: Simplify right side
   3,143.81x = 34,056,525.17
5. Step 5: Solve for x
   x = 34,056,525.17/3,143.81
6. Step 6: Final answer
   x = 10,832.87