Finding the Third Proportional to 6,334 and 14,662

Step by Step Solution

1. Step 1: Write the proportion equation
   6,334 : 14,662 = 14,662 : x
2. Step 2: Convert to fraction form
   6,334/14,662 = 14,662/x
3. Step 3: Cross multiply
   6,334x = 14,662 × 14,662
4. Step 4: Simplify right side
   6,334x = 214,974,244
5. Step 5: Solve for x
   x = 214,974,244/6,334
6. Step 6: Final answer
   x = 33,939.73