Finding the Third Proportional to 2,592.56 and 3,834.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.56 : 3,834.56 = 3,834.56 : x
2. Step 2: Convert to fraction form
   2,592.56/3,834.56 = 3,834.56/x
3. Step 3: Cross multiply
   2,592.56x = 3,834.56 × 3,834.56
4. Step 4: Simplify right side
   2,592.56x = 14,703,869.57
5. Step 5: Solve for x
   x = 14,703,869.57/2,592.56
6. Step 6: Final answer
   x = 5,671.56