Finding the Third Proportional to 2,164 and 2,360

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164 : 2,360 = 2,360 : x
2. Step 2: Convert to fraction form
   2,164/2,360 = 2,360/x
3. Step 3: Cross multiply
   2,164x = 2,360 × 2,360
4. Step 4: Simplify right side
   2,164x = 5,569,600
5. Step 5: Solve for x
   x = 5,569,600/2,164
6. Step 6: Final answer
   x = 2,573.75