Finding the Third Proportional to 6,404 and 13,832

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 13,832 = 13,832 : x
2. Step 2: Convert to fraction form
   6,404/13,832 = 13,832/x
3. Step 3: Cross multiply
   6,404x = 13,832 × 13,832
4. Step 4: Simplify right side
   6,404x = 191,324,224
5. Step 5: Solve for x
   x = 191,324,224/6,404
6. Step 6: Final answer
   x = 29,875.74