Finding the Third Proportional to 2,512.69 and 3,828.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,512.69 : 3,828.09 = 3,828.09 : x
2. Step 2: Convert to fraction form
   2,512.69/3,828.09 = 3,828.09/x
3. Step 3: Cross multiply
   2,512.69x = 3,828.09 × 3,828.09
4. Step 4: Simplify right side
   2,512.69x = 14,654,301.76
5. Step 5: Solve for x
   x = 14,654,301.76/2,512.69
6. Step 6: Final answer
   x = 5,832.12