Finding the Third Proportional to 6,840 and 12,294

Step by Step Solution

1. Step 1: Write the proportion equation
   6,840 : 12,294 = 12,294 : x
2. Step 2: Convert to fraction form
   6,840/12,294 = 12,294/x
3. Step 3: Cross multiply
   6,840x = 12,294 × 12,294
4. Step 4: Simplify right side
   6,840x = 151,142,436
5. Step 5: Solve for x
   x = 151,142,436/6,840
6. Step 6: Final answer
   x = 22,096.85