Finding the Third Proportional to 1,593.75 and 3,768.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,593.75 : 3,768.38 = 3,768.38 : x
2. Step 2: Convert to fraction form
   1,593.75/3,768.38 = 3,768.38/x
3. Step 3: Cross multiply
   1,593.75x = 3,768.38 × 3,768.38
4. Step 4: Simplify right side
   1,593.75x = 14,200,650.14
5. Step 5: Solve for x
   x = 14,200,650.14/1,593.75
6. Step 6: Final answer
   x = 8,910.21