Finding the Third Proportional to 6,538 and 14,012

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538 : 14,012 = 14,012 : x
2. Step 2: Convert to fraction form
   6,538/14,012 = 14,012/x
3. Step 3: Cross multiply
   6,538x = 14,012 × 14,012
4. Step 4: Simplify right side
   6,538x = 196,336,144
5. Step 5: Solve for x
   x = 196,336,144/6,538
6. Step 6: Final answer
   x = 30,030.00