Finding the Third Proportional to 2,116 and 2,308

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116 : 2,308 = 2,308 : x
2. Step 2: Convert to fraction form
   2,116/2,308 = 2,308/x
3. Step 3: Cross multiply
   2,116x = 2,308 × 2,308
4. Step 4: Simplify right side
   2,116x = 5,326,864
5. Step 5: Solve for x
   x = 5,326,864/2,116
6. Step 6: Final answer
   x = 2,517.42