Finding the Third Proportional to 2,160 and 3,340

Step by Step Solution

1. Step 1: Write the proportion equation
   2,160 : 3,340 = 3,340 : x
2. Step 2: Convert to fraction form
   2,160/3,340 = 3,340/x
3. Step 3: Cross multiply
   2,160x = 3,340 × 3,340
4. Step 4: Simplify right side
   2,160x = 11,155,600
5. Step 5: Solve for x
   x = 11,155,600/2,160
6. Step 6: Final answer
   x = 5,164.63