Finding the Third Proportional to 7,677 and 16,404

Step by Step Solution

1. Step 1: Write the proportion equation
   7,677 : 16,404 = 16,404 : x
2. Step 2: Convert to fraction form
   7,677/16,404 = 16,404/x
3. Step 3: Cross multiply
   7,677x = 16,404 × 16,404
4. Step 4: Simplify right side
   7,677x = 269,091,216
5. Step 5: Solve for x
   x = 269,091,216/7,677
6. Step 6: Final answer
   x = 35,051.61