Finding the Third Proportional to 10,275 and 16,385

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275 : 16,385 = 16,385 : x
2. Step 2: Convert to fraction form
   10,275/16,385 = 16,385/x
3. Step 3: Cross multiply
   10,275x = 16,385 × 16,385
4. Step 4: Simplify right side
   10,275x = 268,468,225
5. Step 5: Solve for x
   x = 268,468,225/10,275
6. Step 6: Final answer
   x = 26,128.29