Finding the Third Proportional to 2,593.50 and 5,979.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.50 : 5,979.75 = 5,979.75 : x
2. Step 2: Convert to fraction form
   2,593.50/5,979.75 = 5,979.75/x
3. Step 3: Cross multiply
   2,593.50x = 5,979.75 × 5,979.75
4. Step 4: Simplify right side
   2,593.50x = 35,757,410.06
5. Step 5: Solve for x
   x = 35,757,410.06/2,593.50
6. Step 6: Final answer
   x = 13,787.32