Finding the Third Proportional to 2,491.59 and 3,833.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,491.59 : 3,833.16 = 3,833.16 : x
2. Step 2: Convert to fraction form
   2,491.59/3,833.16 = 3,833.16/x
3. Step 3: Cross multiply
   2,491.59x = 3,833.16 × 3,833.16
4. Step 4: Simplify right side
   2,491.59x = 14,693,086.84
5. Step 5: Solve for x
   x = 14,693,086.84/2,491.59
6. Step 6: Final answer
   x = 5,897.06