Finding the Third Proportional to 10,494 and 13,281

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 13,281 = 13,281 : x
2. Step 2: Convert to fraction form
   10,494/13,281 = 13,281/x
3. Step 3: Cross multiply
   10,494x = 13,281 × 13,281
4. Step 4: Simplify right side
   10,494x = 176,384,961
5. Step 5: Solve for x
   x = 176,384,961/10,494
6. Step 6: Final answer
   x = 16,808.17