Finding the Third Proportional to 2,194 and 3,284

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194 : 3,284 = 3,284 : x
2. Step 2: Convert to fraction form
   2,194/3,284 = 3,284/x
3. Step 3: Cross multiply
   2,194x = 3,284 × 3,284
4. Step 4: Simplify right side
   2,194x = 10,784,656
5. Step 5: Solve for x
   x = 10,784,656/2,194
6. Step 6: Final answer
   x = 4,915.52