Finding the Third Proportional to 2,188 and 2,416

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188 : 2,416 = 2,416 : x
2. Step 2: Convert to fraction form
   2,188/2,416 = 2,416/x
3. Step 3: Cross multiply
   2,188x = 2,416 × 2,416
4. Step 4: Simplify right side
   2,188x = 5,837,056
5. Step 5: Solve for x
   x = 5,837,056/2,188
6. Step 6: Final answer
   x = 2,667.76