Finding the Third Proportional to 6,410 and 13,914

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410 : 13,914 = 13,914 : x
2. Step 2: Convert to fraction form
   6,410/13,914 = 13,914/x
3. Step 3: Cross multiply
   6,410x = 13,914 × 13,914
4. Step 4: Simplify right side
   6,410x = 193,599,396
5. Step 5: Solve for x
   x = 193,599,396/6,410
6. Step 6: Final answer
   x = 30,202.71