Finding the Third Proportional to 2,498.63 and 5,083.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.63 : 5,083.13 = 5,083.13 : x
2. Step 2: Convert to fraction form
   2,498.63/5,083.13 = 5,083.13/x
3. Step 3: Cross multiply
   2,498.63x = 5,083.13 × 5,083.13
4. Step 4: Simplify right side
   2,498.63x = 25,838,159.77
5. Step 5: Solve for x
   x = 25,838,159.77/2,498.63
6. Step 6: Final answer
   x = 10,340.95