Finding the Third Proportional to 2,498.25 and 3,833.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.25 : 3,833.25 = 3,833.25 : x
2. Step 2: Convert to fraction form
   2,498.25/3,833.25 = 3,833.25/x
3. Step 3: Cross multiply
   2,498.25x = 3,833.25 × 3,833.25
4. Step 4: Simplify right side
   2,498.25x = 14,693,805.56
5. Step 5: Solve for x
   x = 14,693,805.56/2,498.25
6. Step 6: Final answer
   x = 5,881.64