Finding the Third Proportional to 2,834.50 and 6,589.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,834.50 : 6,589.38 = 6,589.38 : x
2. Step 2: Convert to fraction form
   2,834.50/6,589.38 = 6,589.38/x
3. Step 3: Cross multiply
   2,834.50x = 6,589.38 × 6,589.38
4. Step 4: Simplify right side
   2,834.50x = 43,419,862.89
5. Step 5: Solve for x
   x = 43,419,862.89/2,834.50
6. Step 6: Final answer
   x = 15,318.35