Finding the Third Proportional to 8,342 and 12,914

Step by Step Solution

1. Step 1: Write the proportion equation
   8,342 : 12,914 = 12,914 : x
2. Step 2: Convert to fraction form
   8,342/12,914 = 12,914/x
3. Step 3: Cross multiply
   8,342x = 12,914 × 12,914
4. Step 4: Simplify right side
   8,342x = 166,771,396
5. Step 5: Solve for x
   x = 166,771,396/8,342
6. Step 6: Final answer
   x = 19,991.78