Finding the Third Proportional to 6,404 and 13,634

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 13,634 = 13,634 : x
2. Step 2: Convert to fraction form
   6,404/13,634 = 13,634/x
3. Step 3: Cross multiply
   6,404x = 13,634 × 13,634
4. Step 4: Simplify right side
   6,404x = 185,885,956
5. Step 5: Solve for x
   x = 185,885,956/6,404
6. Step 6: Final answer
   x = 29,026.54