Finding the Third Proportional to 2,497.88 and 5,081.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,497.88 : 5,081.81 = 5,081.81 : x
2. Step 2: Convert to fraction form
   2,497.88/5,081.81 = 5,081.81/x
3. Step 3: Cross multiply
   2,497.88x = 5,081.81 × 5,081.81
4. Step 4: Simplify right side
   2,497.88x = 25,824,818.29
5. Step 5: Solve for x
   x = 25,824,818.29/2,497.88
6. Step 6: Final answer
   x = 10,338.72