Finding the Third Proportional to 2,610 and 3,846

Step by Step Solution

1. Step 1: Write the proportion equation
   2,610 : 3,846 = 3,846 : x
2. Step 2: Convert to fraction form
   2,610/3,846 = 3,846/x
3. Step 3: Cross multiply
   2,610x = 3,846 × 3,846
4. Step 4: Simplify right side
   2,610x = 14,791,716
5. Step 5: Solve for x
   x = 14,791,716/2,610
6. Step 6: Final answer
   x = 5,667.32