Finding the Third Proportional to 6,942 and 14,496

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942 : 14,496 = 14,496 : x
2. Step 2: Convert to fraction form
   6,942/14,496 = 14,496/x
3. Step 3: Cross multiply
   6,942x = 14,496 × 14,496
4. Step 4: Simplify right side
   6,942x = 210,134,016
5. Step 5: Solve for x
   x = 210,134,016/6,942
6. Step 6: Final answer
   x = 30,269.95