Finding the Third Proportional to 2,539.69 and 5,081.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.69 : 5,081.06 = 5,081.06 : x
2. Step 2: Convert to fraction form
   2,539.69/5,081.06 = 5,081.06/x
3. Step 3: Cross multiply
   2,539.69x = 5,081.06 × 5,081.06
4. Step 4: Simplify right side
   2,539.69x = 25,817,196.13
5. Step 5: Solve for x
   x = 25,817,196.13/2,539.69
6. Step 6: Final answer
   x = 10,165.50