Finding the Third Proportional to 12,468 and 16,470

Step by Step Solution

1. Step 1: Write the proportion equation
   12,468 : 16,470 = 16,470 : x
2. Step 2: Convert to fraction form
   12,468/16,470 = 16,470/x
3. Step 3: Cross multiply
   12,468x = 16,470 × 16,470
4. Step 4: Simplify right side
   12,468x = 271,260,900
5. Step 5: Solve for x
   x = 271,260,900/12,468
6. Step 6: Final answer
   x = 21,756.57