Finding the Third Proportional to 6,034 and 12,914

Step by Step Solution

1. Step 1: Write the proportion equation
   6,034 : 12,914 = 12,914 : x
2. Step 2: Convert to fraction form
   6,034/12,914 = 12,914/x
3. Step 3: Cross multiply
   6,034x = 12,914 × 12,914
4. Step 4: Simplify right side
   6,034x = 166,771,396
5. Step 5: Solve for x
   x = 166,771,396/6,034
6. Step 6: Final answer
   x = 27,638.61