Finding the Third Proportional to 2,160 and 3,294

Step by Step Solution

1. Step 1: Write the proportion equation
   2,160 : 3,294 = 3,294 : x
2. Step 2: Convert to fraction form
   2,160/3,294 = 3,294/x
3. Step 3: Cross multiply
   2,160x = 3,294 × 3,294
4. Step 4: Simplify right side
   2,160x = 10,850,436
5. Step 5: Solve for x
   x = 10,850,436/2,160
6. Step 6: Final answer
   x = 5,023.35