Finding the Third Proportional to 10,384 and 16,160

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 16,160 = 16,160 : x
2. Step 2: Convert to fraction form
   10,384/16,160 = 16,160/x
3. Step 3: Cross multiply
   10,384x = 16,160 × 16,160
4. Step 4: Simplify right side
   10,384x = 261,145,600
5. Step 5: Solve for x
   x = 261,145,600/10,384
6. Step 6: Final answer
   x = 25,148.84