Finding the Third Proportional to 10,617 and 13,374

Step by Step Solution

1. Step 1: Write the proportion equation
   10,617 : 13,374 = 13,374 : x
2. Step 2: Convert to fraction form
   10,617/13,374 = 13,374/x
3. Step 3: Cross multiply
   10,617x = 13,374 × 13,374
4. Step 4: Simplify right side
   10,617x = 178,863,876
5. Step 5: Solve for x
   x = 178,863,876/10,617
6. Step 6: Final answer
   x = 16,846.93