Finding the Third Proportional to 2,688.19 and 5,788.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,688.19 : 5,788.34 = 5,788.34 : x
2. Step 2: Convert to fraction form
   2,688.19/5,788.34 = 5,788.34/x
3. Step 3: Cross multiply
   2,688.19x = 5,788.34 × 5,788.34
4. Step 4: Simplify right side
   2,688.19x = 33,504,832.93
5. Step 5: Solve for x
   x = 33,504,832.93/2,688.19
6. Step 6: Final answer
   x = 12,463.73