Finding the Third Proportional to 2,610 and 3,795.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,610 : 3,795.38 = 3,795.38 : x
2. Step 2: Convert to fraction form
   2,610/3,795.38 = 3,795.38/x
3. Step 3: Cross multiply
   2,610x = 3,795.38 × 3,795.38
4. Step 4: Simplify right side
   2,610x = 14,404,871.39
5. Step 5: Solve for x
   x = 14,404,871.39/2,610
6. Step 6: Final answer
   x = 5,519.11