Finding the Third Proportional to 2,849.34 and 4,182.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,849.34 : 4,182.47 = 4,182.47 : x
2. Step 2: Convert to fraction form
   2,849.34/4,182.47 = 4,182.47/x
3. Step 3: Cross multiply
   2,849.34x = 4,182.47 × 4,182.47
4. Step 4: Simplify right side
   2,849.34x = 17,493,044.84
5. Step 5: Solve for x
   x = 17,493,044.84/2,849.34
6. Step 6: Final answer
   x = 6,139.32