Finding the Third Proportional to 6,782 and 14,914

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782 : 14,914 = 14,914 : x
2. Step 2: Convert to fraction form
   6,782/14,914 = 14,914/x
3. Step 3: Cross multiply
   6,782x = 14,914 × 14,914
4. Step 4: Simplify right side
   6,782x = 222,427,396
5. Step 5: Solve for x
   x = 222,427,396/6,782
6. Step 6: Final answer
   x = 32,796.73