Finding the Third Proportional to 9,677 and 16,470

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677 : 16,470 = 16,470 : x
2. Step 2: Convert to fraction form
   9,677/16,470 = 16,470/x
3. Step 3: Cross multiply
   9,677x = 16,470 × 16,470
4. Step 4: Simplify right side
   9,677x = 271,260,900
5. Step 5: Solve for x
   x = 271,260,900/9,677
6. Step 6: Final answer
   x = 28,031.51