Finding the Third Proportional to 6,385 and 13,798

Step by Step Solution

1. Step 1: Write the proportion equation
   6,385 : 13,798 = 13,798 : x
2. Step 2: Convert to fraction form
   6,385/13,798 = 13,798/x
3. Step 3: Cross multiply
   6,385x = 13,798 × 13,798
4. Step 4: Simplify right side
   6,385x = 190,384,804
5. Step 5: Solve for x
   x = 190,384,804/6,385
6. Step 6: Final answer
   x = 29,817.51