Finding the Third Proportional to 10,364 and 16,470

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364 : 16,470 = 16,470 : x
2. Step 2: Convert to fraction form
   10,364/16,470 = 16,470/x
3. Step 3: Cross multiply
   10,364x = 16,470 × 16,470
4. Step 4: Simplify right side
   10,364x = 271,260,900
5. Step 5: Solve for x
   x = 271,260,900/10,364
6. Step 6: Final answer
   x = 26,173.38