Finding the Third Proportional to 2,569.50 and 3,818

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.50 : 3,818 = 3,818 : x
2. Step 2: Convert to fraction form
   2,569.50/3,818 = 3,818/x
3. Step 3: Cross multiply
   2,569.50x = 3,818 × 3,818
4. Step 4: Simplify right side
   2,569.50x = 14,577,124
5. Step 5: Solve for x
   x = 14,577,124/2,569.50
6. Step 6: Final answer
   x = 5,673.14