Finding the Third Proportional to 2,737.69 and 5,802.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,737.69 : 5,802.75 = 5,802.75 : x
2. Step 2: Convert to fraction form
   2,737.69/5,802.75 = 5,802.75/x
3. Step 3: Cross multiply
   2,737.69x = 5,802.75 × 5,802.75
4. Step 4: Simplify right side
   2,737.69x = 33,671,907.56
5. Step 5: Solve for x
   x = 33,671,907.56/2,737.69
6. Step 6: Final answer
   x = 12,299.40