Finding the Third Proportional to 2,545.50 and 3,838.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,545.50 : 3,838.31 = 3,838.31 : x
2. Step 2: Convert to fraction form
   2,545.50/3,838.31 = 3,838.31/x
3. Step 3: Cross multiply
   2,545.50x = 3,838.31 × 3,838.31
4. Step 4: Simplify right side
   2,545.50x = 14,732,642.85
5. Step 5: Solve for x
   x = 14,732,642.85/2,545.50
6. Step 6: Final answer
   x = 5,787.72