Finding the Third Proportional to 2,646 and 3,716

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646 : 3,716 = 3,716 : x
2. Step 2: Convert to fraction form
   2,646/3,716 = 3,716/x
3. Step 3: Cross multiply
   2,646x = 3,716 × 3,716
4. Step 4: Simplify right side
   2,646x = 13,808,656
5. Step 5: Solve for x
   x = 13,808,656/2,646
6. Step 6: Final answer
   x = 5,218.69