Finding the Third Proportional to 2,521.69 and 3,849.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,521.69 : 3,849.19 = 3,849.19 : x
2. Step 2: Convert to fraction form
   2,521.69/3,849.19 = 3,849.19/x
3. Step 3: Cross multiply
   2,521.69x = 3,849.19 × 3,849.19
4. Step 4: Simplify right side
   2,521.69x = 14,816,244.41
5. Step 5: Solve for x
   x = 14,816,244.41/2,521.69
6. Step 6: Final answer
   x = 5,875.53