Finding the Third Proportional to 2,539.69 and 5,873.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.69 : 5,873.34 = 5,873.34 : x
2. Step 2: Convert to fraction form
   2,539.69/5,873.34 = 5,873.34/x
3. Step 3: Cross multiply
   2,539.69x = 5,873.34 × 5,873.34
4. Step 4: Simplify right side
   2,539.69x = 34,496,166.81
5. Step 5: Solve for x
   x = 34,496,166.81/2,539.69
6. Step 6: Final answer
   x = 13,582.84