Finding the Third Proportional to 10,420 and 13,942

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420 : 13,942 = 13,942 : x
2. Step 2: Convert to fraction form
   10,420/13,942 = 13,942/x
3. Step 3: Cross multiply
   10,420x = 13,942 × 13,942
4. Step 4: Simplify right side
   10,420x = 194,379,364
5. Step 5: Solve for x
   x = 194,379,364/10,420
6. Step 6: Final answer
   x = 18,654.45