Finding the Third Proportional to 2,186 and 5,294

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186 : 5,294 = 5,294 : x
2. Step 2: Convert to fraction form
   2,186/5,294 = 5,294/x
3. Step 3: Cross multiply
   2,186x = 5,294 × 5,294
4. Step 4: Simplify right side
   2,186x = 28,026,436
5. Step 5: Solve for x
   x = 28,026,436/2,186
6. Step 6: Final answer
   x = 12,820.88