Finding the Third Proportional to 6,338 and 13,650

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338 : 13,650 = 13,650 : x
2. Step 2: Convert to fraction form
   6,338/13,650 = 13,650/x
3. Step 3: Cross multiply
   6,338x = 13,650 × 13,650
4. Step 4: Simplify right side
   6,338x = 186,322,500
5. Step 5: Solve for x
   x = 186,322,500/6,338
6. Step 6: Final answer
   x = 29,397.68